769,788

2² × 3² × 21383

769,788 has the prime decomposition 2^2 × 3^2 × 21383. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 21383

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,945,944

Proper Divisor Sum 1,176,156

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #769781 ← → #769789

Radix Representation

Decimal	769788
Binary	10111011111011111100 (20 bits)
Octal	0o2737374
Hexadecimal	0xBBEFC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 21,383 42,766 64,149 85,532 128,298 192,447 256,596 384,894 769,788

Collatz Trajectory (193 steps to reach 1)

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

769,788 384,894 192,447 577,342 288,671 866,014 433,007 1,299,022 649,511 1,948,534 974,267 2,922,802 1,461,401 4,384,204 2,192,102 1,096,051 3,288,154 1,644,077 4,932,232 2,466,116 1,233,058 616,529 1,849,588 924,794 462,397 1,387,192 693,596 346,798 173,399 520,198 260,099 780,298 390,149 1,170,448 585,224 292,612 146,306 73,153 219,460 109,730 54,865 164,596 82,298 41,149 123,448 61,724 30,862 15,431 46,294 23,147 69,442 34,721 104,164 52,082 26,041 78,124 39,062 19,531 58,594 29,297

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