Integer Atlas 18

Integer Profile

31,800

2^3 × 3 × 5^2 × 53

Prime factors, divisor sums, positional representations and sequence properties for 31,800. The prime factorization is 2^3 × 3 × 5^2 × 53.

Number of positive divisors: 48. Collatz steps to reach 1: 54.

AbundantEvenComposite

Resources

JSON

Divisor catalog (48)

Showing 48 of 48.

Collatz trajectory (54 steps)

Even: n → n/2; Odd: n → 3n + 1

Showing 55 of 55.

Prime factorization

Factorization
2^3 × 3 × 5^2 × 53
Distinct prime factors
4
Perfect square
No
Parity
Even

Arithmetic properties

Positive divisors
48
Divisor sum
100,440
Proper-divisor sum
68,640
Digit sum
12
Digital root
3

Number bases

Decimal
31800
Binary
111110000111000 (15 bits)
Octal
0o76070
Hexadecimal
0x7C38

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