327,492

2² × 3² × 11 × 827

327,492 has digital root 9. The neighboring primes are 327491 and 327493; its proper-divisor sum differs from the starting integer by 249,192.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 904,176

Proper Divisor Sum 576,684

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #327491 ← → #327493

Radix Representation

Decimal	327492
Binary	1001111111101000100 (19 bits)
Octal	0o1177504
Hexadecimal	0x4FF44

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 827 1,654 2,481 3,308 4,962 7,443 9,097 9,924 14,886 18,194 27,291 29,772 36,388 54,582 81,873 109,164 163,746 327,492

Collatz Trajectory (184 steps to reach 1)

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

327,492 163,746 81,873 245,620 122,810 61,405 184,216 92,108 46,054 23,027 69,082 34,541 103,624 51,812 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086

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