280,956

2² × 3 × 13 × 1801

Starting at 280,956, the Collatz iteration reaches 1 after 145 steps. The first transition is 140478; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 706,384

Proper Divisor Sum 425,428

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #280949 ← → #280957

Radix Representation

Decimal	280956
Binary	1000100100101111100 (19 bits)
Octal	0o1044574
Hexadecimal	0x4497C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 1,801 3,602 5,403 7,204 10,806 21,612 23,413 46,826 70,239 93,652 140,478 280,956

Collatz Trajectory (145 steps to reach 1)

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

280,956 140,478 70,239 210,718 105,359 316,078 158,039 474,118 237,059 711,178 355,589 1,066,768 533,384 266,692 133,346 66,673 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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