13,664,680

2³ × 5 × 341617

13,664,680 factors as 2^3 × 5 × 341617. Its 16 positive divisors give a proper-divisor sum of 17,080,940, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 341617

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 30,745,620

Proper Divisor Sum 17,080,940

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13664657 ← → #13664711

Radix Representation

Decimal	13664680
Binary	110100001000000110101000 (24 bits)
Octal	0o64100650
Hexadecimal	0xD081A8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 341,617 683,234 1,366,468 1,708,085 2,732,936 3,416,170 6,832,340 13,664,680

Collatz Trajectory (78 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

13,664,680 6,832,340 3,416,170 1,708,085 5,124,256 2,562,128 1,281,064 640,532 320,266 160,133 480,400 240,200 120,100 60,050 30,025 90,076 45,038 22,519 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410

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