The number 74440
74440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1861. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1861, 3722, 7444, 9305, 14888, 18610, 37220, 74440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74440: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74440 is composite. Its prime factorisation is
- 3
The divisors add up to 167580; without 74440 itself that is 93140, so 74440 is abundant (93140 is more than 74440). Euler's totient φ(74440) = 29760 numbers up to 74440 share no factor with it.
- 4
The digits of 74440 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74440 = 2^{3} \times 5 \times 1861 \]74440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 167580 |
| Euler totient φ(n) | 29760 |
| Square | 5541313600 |
| Cube | 412495384384000 |
| Square root | 272.836948 (= 2√18610) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.444 × |
74440 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and forty |
| Binary (base 2) | 10010001011001000 |
| Octal (base 8) | 221310 |
| Hexadecimal (base 16) | 122C8 |
| Base 3 | 10210010001 |
| As time | 74440 seconds = 20 h 40 min 40 s |
Is 74440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74440 ÷ 2 = 37220) | 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 (74440 ÷ 4 = 18610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74440 ÷ 5 = 14888) | 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 | 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 | Yes (74440 ÷ 8 = 9305) | 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 | Yes (74440 ÷ 10 = 7444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 74440 a prime number?
No. 74440 = × 5 × 1861, so it is divisible by 2.
What are the factors of 74440?
1, 2, 4, 5, 8, 10, 20, 40, 1861, 3722, 7444, 9305, 14888, 18610, 37220, 74440.
What is 74440 in binary?
10010001011001000 (hexadecimal 122C8, octal 221310).
What is the square root of 74440?
About 272.8369, exactly 2√18610.
Is 74440 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74440?
74440 is a happy number: repeatedly adding the squares of its digits reaches 1.