8,516,672

2⁶ × 133073

8,516,672 factors as 2^6 × 133073. Its 14 positive divisors give a proper-divisor sum of 8,383,726, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^6 × 133073

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,900,398

Proper Divisor Sum 8,383,726

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8516659 ← → #8516701

Radix Representation

Decimal	8516672
Binary	100000011111010001000000 (24 bits)
Octal	0o40372100
Hexadecimal	0x81F440

Divisor Catalog (14)

1 2 4 8 16 32 64 133,073 266,146 532,292 1,064,584 2,129,168 4,258,336 8,516,672

Collatz Trajectory (212 steps to reach 1)

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

8,516,672 4,258,336 2,129,168 1,064,584 532,292 266,146 133,073 399,220 199,610 99,805 299,416 149,708 74,854 37,427 112,282 56,141 168,424 84,212 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022

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