767,656

2³ × 95957

767,656 factors as 2^3 × 95957. Its 8 positive divisors give a proper-divisor sum of 671,714, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^3 × 95957

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,439,370

Proper Divisor Sum 671,714

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #767647 ← → #767677

Radix Representation

Decimal	767656
Binary	10111011011010101000 (20 bits)
Octal	0o2733250
Hexadecimal	0xBB6A8

Divisor Catalog (8)

1 2 4 8 95,957 191,914 383,828 767,656

Collatz Trajectory (56 steps to reach 1)

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

767,656 383,828 191,914 95,957 287,872 143,936 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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