769,916

2² × 7 × 31 × 887

769,916 factors as 2^2 × 7 × 31 × 887. Its 24 positive divisors give a proper-divisor sum of 821,380, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,591,296

Proper Divisor Sum 821,380

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #769903 ← → #769919

Radix Representation

Decimal	769916
Binary	10111011111101111100 (20 bits)
Octal	0o2737574
Hexadecimal	0xBBF7C

Divisor Catalog (24)

Collatz Trajectory (149 steps to reach 1)

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

769,916 384,958 192,479 577,438 288,719 866,158 433,079 1,299,238 649,619 1,948,858 974,429 2,923,288 1,461,644 730,822 365,411 1,096,234 548,117 1,644,352 822,176 411,088 205,544 102,772 51,386 25,693 77,080 38,540 19,270 9,635 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 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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