256,329

3² × 19 × 1499

256,329 has the prime decomposition 3^2 × 19 × 1499. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 1499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 390,000

Proper Divisor Sum 133,671

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #256313 ← → #256337

Radix Representation

Decimal	256329
Binary	111110100101001001 (18 bits)
Octal	0o764511
Hexadecimal	0x3E949

Divisor Catalog (12)

1 3 9 19 57 171 1,499 4,497 13,491 28,481 85,443 256,329

Collatz Trajectory (119 steps to reach 1)

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

256,329 768,988 384,494 192,247 576,742 288,371 865,114 432,557 1,297,672 648,836 324,418 162,209 486,628 243,314 121,657 364,972 182,486 91,243 273,730 136,865 410,596 205,298 102,649 307,948 153,974 76,987 230,962 115,481 346,444 173,222 86,611 259,834 129,917 389,752 194,876 97,438 48,719 146,158 73,079 219,238 109,619 328,858 164,429 493,288 246,644 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534

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