The number 97552
97552 is a composite number with 40 divisors. Its prime factorisation is × 7 × 13 × 67. Divisors (40): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 67, 91, 104, 112 … 97552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97552: a Harshad number: divisible by its digit sum 28.
- 2
97552 is composite. Its prime factorisation is
- 3
The divisors add up to 236096; without 97552 itself that is 138544, so 97552 is abundant (138544 is more than 97552). Euler's totient φ(97552) = 38016 numbers up to 97552 share no factor with it.
- 4
The digits of 97552 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97552 = 2^{4} \times 7 \times 13 \times 67 \]97552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 236096 |
| Euler totient φ(n) | 38016 |
| Square | 9516392704 |
| Cube | 928343141060608 |
| Square root | 312.333155 (= 4√6097) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7552 × |
97552 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and fifty-two |
| Binary (base 2) | 10111110100010000 |
| Octal (base 8) | 276420 |
| Hexadecimal (base 16) | 17D10 |
| Base 3 | 11221211001 |
| As time | 97552 seconds = 27 h 5 min 52 s |
Is 97552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97552 ÷ 2 = 48776) | 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 | Yes (97552 ÷ 4 = 24388) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97552 ÷ 7 = 13936) | 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 | Yes (97552 ÷ 8 = 12194) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97552 a prime number?
No. 97552 = × 7 × 13 × 67, so it is divisible by 2.
What are the factors of 97552?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 67, 91, 104, 112, 134, 182, 208, 268, 364, 469, 536, 728, 871, 938, 1072, 1456, 1742, 1876, 3484, 3752, 6097, 6968, 7504, 12194, 13936, 24388, 48776, 97552.
What is 97552 in binary?
10111110100010000 (hexadecimal 17D10, octal 276420).
What is the square root of 97552?
About 312.3332, exactly 4√6097.
Is 97552 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97552?
97552 is a Harshad number: divisible by its digit sum 28.