946,876

2² × 7² × 4831

Starting at 946,876, the Collatz iteration reaches 1 after 126 steps. The first transition is 473438; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 4831

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,927,968

Proper Divisor Sum 981,092

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #946873 ← → #946877

Radix Representation

Decimal	946876
Binary	11100111001010111100 (20 bits)
Octal	0o3471274
Hexadecimal	0xE72BC

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 4,831 9,662 19,324 33,817 67,634 135,268 236,719 473,438 946,876

Collatz Trajectory (126 steps to reach 1)

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

946,876 473,438 236,719 710,158 355,079 1,065,238 532,619 1,597,858 798,929 2,396,788 1,198,394 599,197 1,797,592 898,796 449,398 224,699 674,098 337,049 1,011,148 505,574 252,787 758,362 379,181 1,137,544 568,772 284,386 142,193 426,580 213,290 106,645 319,936 159,968 79,984 39,992 19,996 9,998 4,999 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167

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