8,657,892

2² × 3² × 29 × 8293

Starting at 8,657,892, the Collatz iteration reaches 1 after 67 steps. The first transition is 4328946; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 8293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 22,642,620

Proper Divisor Sum 13,984,728

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8657881 ← → #8657903

Radix Representation

Decimal	8657892
Binary	100001000001101111100100 (24 bits)
Octal	0o41015744
Hexadecimal	0x841BE4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 8,293 16,586 24,879 33,172 49,758 74,637 99,516 149,274 240,497 298,548 480,994 721,491 961,988 1,442,982 2,164,473 2,885,964 4,328,946 8,657,892

Collatz Trajectory (67 steps to reach 1)

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

8,657,892 4,328,946 2,164,473 6,493,420 3,246,710 1,623,355 4,870,066 2,435,033 7,305,100 3,652,550 1,826,275 5,478,826 2,739,413 8,218,240 4,109,120 2,054,560 1,027,280 513,640 256,820 128,410 64,205 192,616 96,308 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256

← Previous Integer #8,657,891 Browse Full Index Next Integer #8,657,893 →