960,414

2 × 3 × 7 × 13 × 1759

Starting at 960,414, the Collatz iteration reaches 1 after 95 steps. The first transition is 480207; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 1759

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,365,440

Proper Divisor Sum 1,405,026

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #960389 ← → #960419

Radix Representation

Decimal	960414
Binary	11101010011110011110 (20 bits)
Octal	0o3523636
Hexadecimal	0xEA79E

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1,759 3,518 5,277 10,554 12,313 22,867 24,626 36,939 45,734 68,601 73,878 137,202 160,069 320,138 480,207 960,414

Collatz Trajectory (95 steps to reach 1)

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

960,414 480,207 1,440,622 720,311 2,160,934 1,080,467 3,241,402 1,620,701 4,862,104 2,431,052 1,215,526 607,763 1,823,290 911,645 2,734,936 1,367,468 683,734 341,867 1,025,602 512,801 1,538,404 769,202 384,601 1,153,804 576,902 288,451 865,354 432,677 1,298,032 649,016 324,508 162,254 81,127 243,382 121,691 365,074 182,537 547,612 273,806 136,903 410,710 205,355 616,066 308,033 924,100 462,050 231,025 693,076 346,538 173,269 519,808 259,904 129,952 64,976 32,488 16,244 8,122 4,061 12,184 6,092

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