256,139

13 × 17 × 19 × 61

Starting at 256,139, the Collatz iteration reaches 1 after 194 steps. The first transition is 768418; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 19 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 312,480

Proper Divisor Sum 56,341

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #256133 ← → #256147

Radix Representation

Decimal	256139
Binary	111110100010001011 (18 bits)
Octal	0o764213
Hexadecimal	0x3E88B

Divisor Catalog (16)

1 13 17 19 61 221 247 323 793 1,037 1,159 4,199 13,481 15,067 19,703 256,139

Collatz Trajectory (194 steps to reach 1)

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

256,139 768,418 384,209 1,152,628 576,314 288,157 864,472 432,236 216,118 108,059 324,178 162,089 486,268 243,134 121,567 364,702 182,351 547,054 273,527 820,582 410,291 1,230,874 615,437 1,846,312 923,156 461,578 230,789 692,368 346,184 173,092 86,546 43,273 129,820 64,910 32,455 97,366 48,683 146,050 73,025 219,076 109,538 54,769 164,308 82,154 41,077 123,232 61,616 30,808 15,404 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625

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