764,892

2² × 3² × 21247

764,892 factors as 2^2 × 3^2 × 21247. Its 18 positive divisors give a proper-divisor sum of 1,168,676, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 21247

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,933,568

Proper Divisor Sum 1,168,676

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #764891 ← → #764893

Radix Representation

Decimal	764892
Binary	10111010101111011100 (20 bits)
Octal	0o2725734
Hexadecimal	0xBABDC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 21,247 42,494 63,741 84,988 127,482 191,223 254,964 382,446 764,892

Collatz Trajectory (149 steps to reach 1)

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

764,892 382,446 191,223 573,670 286,835 860,506 430,253 1,290,760 645,380 322,690 161,345 484,036 242,018 121,009 363,028 181,514 90,757 272,272 136,136 68,068 34,034 17,017 51,052 25,526 12,763 38,290 19,145 57,436 28,718 14,359 43,078 21,539 64,618 32,309 96,928 48,464 24,232 12,116 6,058 3,029 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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