255,321

3² × 11 × 2579

255,321 factors as 3^2 × 11 × 2579. Its 12 positive divisors give a proper-divisor sum of 147,159, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 2579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 402,480

Proper Divisor Sum 147,159

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #255313 ← → #255329

Radix Representation

Decimal	255321
Binary	111110010101011001 (18 bits)
Octal	0o762531
Hexadecimal	0x3E559

Divisor Catalog (12)

1 3 9 11 33 99 2,579 7,737 23,211 28,369 85,107 255,321

Collatz Trajectory (101 steps to reach 1)

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

255,321 765,964 382,982 191,491 574,474 287,237 861,712 430,856 215,428 107,714 53,857 161,572 80,786 40,393 121,180 60,590 30,295 90,886 45,443 136,330 68,165 204,496 102,248 51,124 25,562 12,781 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

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