255,873

3 × 19 × 67²

Starting at 255,873, the Collatz iteration reaches 1 after 106 steps. The first transition is 767620; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 67^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 364,560

Proper Divisor Sum 108,687

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #255869 ← → #255877

Radix Representation

Decimal	255873
Binary	111110011110000001 (18 bits)
Octal	0o763601
Hexadecimal	0x3E781

Divisor Catalog (12)

1 3 19 57 67 201 1,273 3,819 4,489 13,467 85,291 255,873

Collatz Trajectory (106 steps to reach 1)

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

255,873 767,620 383,810 191,905 575,716 287,858 143,929 431,788 215,894 107,947 323,842 161,921 485,764 242,882 121,441 364,324 182,162 91,081 273,244 136,622 68,311 204,934 102,467 307,402 153,701 461,104 230,552 115,276 57,638 28,819 86,458 43,229 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739

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