681,558

2 × 3 × 29 × 3917

Starting at 681,558, the Collatz iteration reaches 1 after 105 steps. The first transition is 340779; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 3917

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,410,480

Proper Divisor Sum 728,922

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #681557 ← → #681563

Radix Representation

Decimal	681558
Binary	10100110011001010110 (20 bits)
Octal	0o2463126
Hexadecimal	0xA6656

Divisor Catalog (16)

1 2 3 6 29 58 87 174 3,917 7,834 11,751 23,502 113,593 227,186 340,779 681,558

Collatz Trajectory (105 steps to reach 1)

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

681,558 340,779 1,022,338 511,169 1,533,508 766,754 383,377 1,150,132 575,066 287,533 862,600 431,300 215,650 107,825 323,476 161,738 80,869 242,608 121,304 60,652 30,326 15,163 45,490 22,745 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722

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