412,876

2² × 233 × 443

Starting at 412,876, the Collatz iteration reaches 1 after 81 steps. The first transition is 206438; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 233 × 443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 727,272

Proper Divisor Sum 314,396

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #412859 ← → #412891

Radix Representation

Decimal	412876
Binary	1100100110011001100 (19 bits)
Octal	0o1446314
Hexadecimal	0x64CCC

Divisor Catalog (12)

1 2 4 233 443 466 886 932 1,772 103,219 206,438 412,876

Collatz Trajectory (81 steps to reach 1)

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

412,876 206,438 103,219 309,658 154,829 464,488 232,244 116,122 58,061 174,184 87,092 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74

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