The number 74102
74102 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 67 × 79. Divisors (16): 1, 2, 7, 14, 67, 79, 134, 158, 469, 553, 938, 1106, 5293, 10586, 37051, 74102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74102: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
74102 is composite. Its prime factorisation is
- 3
The divisors add up to 130560; without 74102 itself that is 56458, so 74102 is deficient (56458 is less than 74102). Euler's totient φ(74102) = 30888 numbers up to 74102 share no factor with it.
- 4
The digits of 74102 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74102 = 2 \times 7 \times 67 \times 79 \]
74102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130560 |
| Euler totient φ(n) | 30888 |
| Square | 5491106404 |
| Cube | 406901966749208 |
| Square root | 272.216825 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4102 × |
74102 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and two |
| Binary (base 2) | 10010000101110110 |
| Octal (base 8) | 220566 |
| Hexadecimal (base 16) | 12176 |
| Base 3 | 10202122112 |
| As time | 74102 seconds = 20 h 35 min 2 s |
Is 74102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74102 ÷ 2 = 37051) | 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 | 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 (74102 ÷ 7 = 10586) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 74102 a prime number?
No. 74102 = 2 × 7 × 67 × 79, so it is divisible by 2.
What are the factors of 74102?
1, 2, 7, 14, 67, 79, 134, 158, 469, 553, 938, 1106, 5293, 10586, 37051, 74102.
What is 74102 in binary?
10010000101110110 (hexadecimal 12176, octal 220566).
What is the square root of 74102?
About 272.2168.
Is 74102 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 74102?
74102 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.