Number dictionary · Exact arithmetic
377: factors and number facts
three hundred seventy-seven is an odd number and is composite. Its 4 positive divisors form 2 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- three hundred seventy-seven
- Roman numeral
- CCCLXXVII
- Prime factorization
- 13 × 29
- Digital root
- 8
All factors of 377
A positive factor divides 377 with no remainder. In ascending order, the complete list is:
1, 13, 29, 377
Factor pairs
- 1 × 377 = 377
- 13 × 29 = 377
Each pair describes an arrangement of 377 items into equal rows. The pairs have different row and column counts; 377 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 4
- Sum of all divisors
- 420
- Sum excluding 377
- 43
- Classification
- deficient
377 is deficient because its proper divisors add to 43, which is less than 377.
Prime factorization of 377
377 = 13 × 29
Repeated division, step by step
- 377 ÷ 13 = 29
- 29 ÷ 29 = 1
Multiply the prime divisors in these steps to reconstruct 377. Each prime in this factorization occurs once. The divisor-count calculation is (1 + 1) × (1 + 1) = 4.
The preceding prime is 373. The next larger prime is 379. The factor list above explains why 377 is composite.
Learn the factorization method377 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | three hundred seventy-seven |
| Roman numeral | CCCLXXVII |
| Binary (base 2) | 101111001 |
| Octal (base 8) | 571 |
| Decimal (base 10) | 377 |
| Hexadecimal (base 16) | 179 |
Check the binary conversion
Read 101111001 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
256 + 64 + 32 + 16 + 8 + 1 = 377
Check the hexadecimal conversion
1 × 16^2 + 7 × 16^1 + 9 × 16^0 = 377
Hexadecimal uses A through F for digit values 10 through 15. These notations represent the same quantity; changing the base does not change the integer.
Square, cube and square root of 377
- 377 squared
- 377 × 377 = 142,129
- 377 cubed
- 377 × 377 × 377 = 53,582,633
- Square root
- ≈ 19.416488
- Simplified radical
- √377
377 lies between 361 (19²) and 400 (20²), so it is not a perfect square. It is not a perfect cube.
377 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 377.
Distinguish a square from a square rootMultiplication table for 377
These are the first twelve positive multiples. Unlike the finite factor list, the sequence of multiples continues without an upper limit.
Divisibility checks
| Divide by | Whole quotient | Remainder | Divides exactly? |
|---|---|---|---|
| 2 | 188 | 1 | No |
| 3 | 125 | 2 | No |
| 4 | 94 | 1 | No |
| 5 | 75 | 2 | No |
| 6 | 62 | 5 | No |
| 7 | 53 | 6 | No |
| 8 | 47 | 1 | No |
| 9 | 41 | 8 | No |
| 10 | 37 | 7 | No |
| 11 | 34 | 3 | No |
| 12 | 31 | 5 | No |
For example, 377 = 7 × 53 + 6. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 377
377 contains 3 decimal digits. Its digit sum is 3 + 7 + 7 = 17.
- 377: 3 + 7 + 7 = 17
- 17: 1 + 7 = 8
The digital root is 8. Reversing its digits gives 773; it is not a decimal palindrome. Digit patterns depend on the notation being used.
Digital-root arithmetic always finishes at a single digit for a positive integer. Some numerology methods stop at 11, 22 or 33 instead; that is a separate interpretive convention.
Fractions and a worked comparison
As a fraction of 100, 377/100 simplifies to 377/100 by dividing both terms by their greatest common divisor, 1. Its decimal value is 3.77. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 377 and 12 is 1. Their least common multiple is 4524. The identity GCD × LCM = 377 × 12 = 4524 checks both results.
Work through GCF and LCMQuestions about 377
What are the factors of 377?
The positive factors are 1, 13, 29, 377. There are 4 factors, including 1 and 377.
Is 377 a prime number?
No. 377 is composite: 13 × 29 = 377.
How do you write 377 in Roman numerals?
377 is CCCLXXVII in standard subtractive Roman numeral notation.
What is the binary representation of 377?
377 in decimal is 101111001 in base 2. Adding its active place values gives 256 + 64 + 32 + 16 + 8 + 1 = 377.
Methods and reference definitions
Number JD calculates each result from the integer on this page. Positive factors are enumerated in pairs; repeated division gives the prime factorization; place values verify base conversions. Decimal square roots are rounded to six places when irrational.
NUMBER JOURNAL / JD
A reflective note on 377
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 377 add to 17. That arithmetic result is separate from the cultural symbolism of the pattern. If this number matters to you, write down what you noticed and choose one grounded action rather than treating the sighting as a prediction.