8,096,672

2⁵ × 421 × 601

8,096,672 factors as 2^5 × 421 × 601. Its 24 positive divisors give a proper-divisor sum of 7,908,100, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 421 × 601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,004,772

Proper Divisor Sum 7,908,100

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8096657 ← → #8096719

Radix Representation

Decimal	8096672
Binary	11110111000101110100000 (23 bits)
Octal	0o36705640
Hexadecimal	0x7B8BA0

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

8,096,672 4,048,336 2,024,168 1,012,084 506,042 253,021 759,064 379,532 189,766 94,883 284,650 142,325 426,976 213,488 106,744 53,372 26,686 13,343 40,030 20,015 60,046 30,023 90,070 45,035 135,106 67,553 202,660 101,330 50,665 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652 22,826 11,413 34,240 17,120 8,560

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