The number 97370
97370 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 13 × 107. Divisors (32): 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 107, 130, 182, 214 … 97370.
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How to work it out
- 1
What is special about 97370: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.
- 2
97370 is composite. Its prime factorisation is
- 3
The divisors add up to 217728; without 97370 itself that is 120358, so 97370 is abundant (120358 is more than 97370). Euler's totient φ(97370) = 30528 numbers up to 97370 share no factor with it.
- 4
The digits of 97370 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97370 = 2 \times 5 \times 7 \times 13 \times 107 \]
97370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 217728 |
| Euler totient φ(n) | 30528 |
| Square | 9480916900 |
| Cube | 923156878553000 |
| Square root | 312.041664 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.737 × |
97370 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and seventy |
| Binary (base 2) | 10111110001011010 |
| Octal (base 8) | 276132 |
| Hexadecimal (base 16) | 17C5A |
| Base 3 | 11221120022 |
| As time | 97370 seconds = 27 h 2 min 50 s |
Is 97370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97370 ÷ 2 = 48685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97370 ÷ 5 = 19474) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97370 ÷ 7 = 13910) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97370 ÷ 10 = 9737) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97370 a prime number?
No. 97370 = 2 × 5 × 7 × 13 × 107, so it is divisible by 2.
What are the factors of 97370?
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 107, 130, 182, 214, 455, 535, 749, 910, 1070, 1391, 1498, 2782, 3745, 6955, 7490, 9737, 13910, 19474, 48685, 97370.
What is 97370 in binary?
10111110001011010 (hexadecimal 17C5A, octal 276132).
What is the square root of 97370?
About 312.0417.
Is 97370 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97370?
97370 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.