769,816

2³ × 41 × 2347

769,816 factors as 2^3 × 41 × 2347. Its 16 positive divisors give a proper-divisor sum of 709,424, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 2347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,479,240

Proper Divisor Sum 709,424

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #769807 ← → #769837

Radix Representation

Decimal	769816
Binary	10111011111100011000 (20 bits)
Octal	0o2737430
Hexadecimal	0xBBF18

Divisor Catalog (16)

1 2 4 8 41 82 164 328 2,347 4,694 9,388 18,776 96,227 192,454 384,908 769,816

Collatz Trajectory (149 steps to reach 1)

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

769,816 384,908 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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