The number 91002
91002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 523. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 523, 1046, 1569, 3138, 15167, 30334, 45501, 91002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 91002: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
91002 is composite. Its prime factorisation is
- 3
The divisors add up to 188640; without 91002 itself that is 97638, so 91002 is abundant (97638 is more than 91002). Euler's totient φ(91002) = 29232 numbers up to 91002 share no factor with it.
- 4
The digits of 91002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 91002 = 2 \times 3 \times 29 \times 523 \]
91002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 188640 |
| Euler totient φ(n) | 29232 |
| Square | 8281364004 |
| Cube | 753620687092008 |
| Square root | 301.665378 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.1002 × |
91002 in other forms
| Form | Value |
|---|---|
| In words | ninety-one thousand and two |
| Binary (base 2) | 10110001101111010 |
| Octal (base 8) | 261572 |
| Hexadecimal (base 16) | 1637A |
| Base 3 | 11121211110 |
| As time | 91002 seconds = 25 h 16 min 42 s |
Is 91002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (91002 ÷ 2 = 45501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (91002 ÷ 3 = 30334) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (91002 ÷ 6 = 15167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 91002 a prime number?
No. 91002 = 2 × 3 × 29 × 523, so it is divisible by 2.
What are the factors of 91002?
1, 2, 3, 6, 29, 58, 87, 174, 523, 1046, 1569, 3138, 15167, 30334, 45501, 91002.
What is 91002 in binary?
10110001101111010 (hexadecimal 1637A, octal 261572).
What is the square root of 91002?
About 301.6654.
Is 91002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 91002?
91002 is a happy number: repeatedly adding the squares of its digits reaches 1.