Integer Atlas 07

Integer Profile

13,680

2^4 × 3^2 × 5 × 19

Prime factors, divisor sums, positional representations and sequence properties for 13,680. The prime factorization is 2^4 × 3^2 × 5 × 19.

Number of positive divisors: 60. Collatz steps to reach 1: 58.

AbundantEvenComposite

Prime factorization

Factorization
2^4 × 3^2 × 5 × 19
Distinct prime factors
4
Perfect square
No
Parity
Even

Arithmetic properties

Positive divisors
60
Divisor sum
48,360
Proper-divisor sum
34,680
Digit sum
18
Digital root
9

Number bases

Decimal
13680
Binary
11010101110000 (14 bits)
Octal
0o32560
Hexadecimal
0x3570

Divisor catalog (60)

Showing 60 of 60.

Collatz trajectory (58 steps)

Even: n → n/2; Odd: n → 3n + 1

Showing 59 of 59.

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