8,658,156

2² × 3 × 13 × 55501

Starting at 8,658,156, the Collatz iteration reaches 1 after 124 steps. The first transition is 4329078; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 55501

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,756,784

Proper Divisor Sum 13,098,628

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8658137 ← → #8658161

Radix Representation

Decimal	8658156
Binary	100001000001110011101100 (24 bits)
Octal	0o41016354
Hexadecimal	0x841CEC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 55,501 111,002 166,503 222,004 333,006 666,012 721,513 1,443,026 2,164,539 2,886,052 4,329,078 8,658,156

Collatz Trajectory (124 steps to reach 1)

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

8,658,156 4,329,078 2,164,539 6,493,618 3,246,809 9,740,428 4,870,214 2,435,107 7,305,322 3,652,661 10,957,984 5,478,992 2,739,496 1,369,748 684,874 342,437 1,027,312 513,656 256,828 128,414 64,207 192,622 96,311 288,934 144,467 433,402 216,701 650,104 325,052 162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506

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