The number 62972
62972 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 173. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 173, 182, 346, 364, 692, 1211 … 62972.
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How to work it out
- 1
What is special about 62972: a Harshad number: divisible by its digit sum 26.
- 2
62972 is composite. Its prime factorisation is
- 3
The divisors add up to 136416; without 62972 itself that is 73444, so 62972 is abundant (73444 is more than 62972). Euler's totient φ(62972) = 24768 numbers up to 62972 share no factor with it.
- 4
The digits of 62972 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62972 = 2^{2} \times 7 \times 13 \times 173 \]62972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136416 |
| Euler totient φ(n) | 24768 |
| Square | 3965472784 |
| Cube | 249713752154048 |
| Square root | 250.942224 (= 2√15743) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.2972 × |
62972 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand nine hundred and seventy-two |
| Binary (base 2) | 1111010111111100 |
| Octal (base 8) | 172774 |
| Hexadecimal (base 16) | F5FC |
| Base 3 | 10012101022 |
| As time | 62972 seconds = 17 h 29 min 32 s |
Is 62972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62972 ÷ 2 = 31486) | 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 | Yes (62972 ÷ 4 = 15743) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (62972 ÷ 7 = 8996) | 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 4) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62972 a prime number?
No. 62972 = × 7 × 13 × 173, so it is divisible by 2.
What are the factors of 62972?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 173, 182, 346, 364, 692, 1211, 2249, 2422, 4498, 4844, 8996, 15743, 31486, 62972.
What is 62972 in binary?
1111010111111100 (hexadecimal F5FC, octal 172774).
What is the square root of 62972?
About 250.9422, exactly 2√15743.
Is 62972 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 62972?
62972 is a Harshad number: divisible by its digit sum 26.