6,429,468

2² × 3 × 17 × 31517

Starting at 6,429,468, the Collatz iteration reaches 1 after 240 steps. The first transition is 3214734; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 31517

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,885,072

Proper Divisor Sum 9,455,604

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6429463 ← → #6429481

Radix Representation

Decimal	6429468
Binary	11000100001101100011100 (23 bits)
Octal	0o30415434
Hexadecimal	0x621B1C

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 31,517 63,034 94,551 126,068 189,102 378,204 535,789 1,071,578 1,607,367 2,143,156 3,214,734 6,429,468

Collatz Trajectory (240 steps to reach 1)

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

6,429,468 3,214,734 1,607,367 4,822,102 2,411,051 7,233,154 3,616,577 10,849,732 5,424,866 2,712,433 8,137,300 4,068,650 2,034,325 6,102,976 3,051,488 1,525,744 762,872 381,436 190,718 95,359 286,078 143,039 429,118 214,559 643,678 321,839 965,518 482,759 1,448,278 724,139 2,172,418 1,086,209 3,258,628 1,629,314 814,657 2,443,972 1,221,986 610,993 1,832,980 916,490 458,245 1,374,736 687,368 343,684 171,842 85,921 257,764 128,882 64,441 193,324 96,662 48,331 144,994 72,497 217,492 108,746 54,373 163,120 81,560 40,780

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