9,767,656

2³ × 17 × 71821

9,767,656 factors as 2^3 × 17 × 71821. Its 16 positive divisors give a proper-divisor sum of 9,624,284, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 71821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,391,940

Proper Divisor Sum 9,624,284

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9767633 ← → #9767657

Radix Representation

Decimal	9767656
Binary	100101010000101011101000 (24 bits)
Octal	0o45205350
Hexadecimal	0x950AE8

Divisor Catalog (16)

1 2 4 8 17 34 68 136 71,821 143,642 287,284 574,568 1,220,957 2,441,914 4,883,828 9,767,656

Collatz Trajectory (62 steps to reach 1)

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

9,767,656 4,883,828 2,441,914 1,220,957 3,662,872 1,831,436 915,718 457,859 1,373,578 686,789 2,060,368 1,030,184 515,092 257,546 128,773 386,320 193,160 96,580 48,290 24,145 72,436 36,218 18,109 54,328 27,164 13,582 6,791 20,374 10,187 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

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