Integer Atlas 07

Integer Profile

71,976

2^3 × 3 × 2999

Prime factors, divisor sums, positional representations and sequence properties for 71,976. The prime factorization is 2^3 × 3 × 2999.

Number of positive divisors: 16. Collatz steps to reach 1: 50.

AbundantEvenComposite

Prime factorization

Factorization
2^3 × 3 × 2999
Distinct prime factors
3
Perfect square
No
Parity
Even

Arithmetic properties

Positive divisors
16
Divisor sum
180,000
Proper-divisor sum
108,024
Digit sum
30
Digital root
3

Number bases

Decimal
71976
Binary
10001100100101000 (17 bits)
Octal
0o214450
Hexadecimal
0x11928

Divisor catalog (16)

Showing 16 of 16.

Collatz trajectory (50 steps)

Even: n → n/2; Odd: n → 3n + 1

Showing 51 of 51.

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