8,513,430

2 × 3 × 5 × 17 × 16693

Starting at 8,513,430, the Collatz iteration reaches 1 after 124 steps. The first transition is 4256715; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 16693

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,635,424

Proper Divisor Sum 13,121,994

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8513429 ← → #8513431

Radix Representation

Decimal	8513430
Binary	100000011110011110010110 (24 bits)
Octal	0o40363626
Hexadecimal	0x81E796

Divisor Catalog (32)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 16,693 33,386 50,079 83,465 100,158 166,930 250,395 283,781 500,790 567,562 851,343 1,418,905 1,702,686 2,837,810 4,256,715 8,513,430

Collatz Trajectory (124 steps to reach 1)

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

8,513,430 4,256,715 12,770,146 6,385,073 19,155,220 9,577,610 4,788,805 14,366,416 7,183,208 3,591,604 1,795,802 897,901 2,693,704 1,346,852 673,426 336,713 1,010,140 505,070 252,535 757,606 378,803 1,136,410 568,205 1,704,616 852,308 426,154 213,077 639,232 319,616 159,808 79,904 39,952 19,976 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251

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