The number 1357
1357 is a composite number with 4 divisors. Its prime factorisation is 23 × 59. Divisors (4): 1, 23, 59, 1357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1357: a semiprime: 23 × 59, the product of two primes.
- 2
1357 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 1357 itself that is 83, so 1357 is deficient (83 is less than 1357). Euler's totient φ(1357) = 1276 numbers up to 1357 share no factor with it.
- 4
The digits of 1357 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1357 = 23 \times 59 \]
1357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 1276 |
| Square | 1841449 |
| Cube | 2498846293 |
| Square root | 36.837481 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.357 × |
1357 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fifty-seven |
| Roman numerals | MCCCLVII |
| Binary (base 2) | 10101001101 |
| Octal (base 8) | 2515 |
| Hexadecimal (base 16) | 54D |
| Base 3 | 1212021 |
| As time | 1357 seconds = 22 min 37 s |
Is 1357 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1357 a prime number?
No. 1357 = 23 × 59, so it is divisible by 23.
What are the factors of 1357?
1, 23, 59, 1357.
What is 1357 in binary?
10101001101 (hexadecimal 54D, octal 2515).
What is the square root of 1357?
About 36.8375.
What is 1357 in Roman numerals?
MCCCLVII.
Is 1357 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1357?
1357 is a semiprime: 23 × 59, the product of two primes.