8,396,631

3² × 29 × 53 × 607

Starting at 8,396,631, the Collatz iteration reaches 1 after 137 steps. The first transition is 25189894; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 53 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,804,480

Proper Divisor Sum 4,407,849

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8396617 ← → #8396639

Radix Representation

Decimal	8396631
Binary	100000000001111101010111 (24 bits)
Octal	0o40017527
Hexadecimal	0x801F57

Divisor Catalog (24)

1 3 9 29 53 87 159 261 477 607 1,537 1,821 4,611 5,463 13,833 17,603 32,171 52,809 96,513 158,427 289,539 932,959 2,798,877 8,396,631

Collatz Trajectory (137 steps to reach 1)

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

8,396,631 25,189,894 12,594,947 37,784,842 18,892,421 56,677,264 28,338,632 14,169,316 7,084,658 3,542,329 10,626,988 5,313,494 2,656,747 7,970,242 3,985,121 11,955,364 5,977,682 2,988,841 8,966,524 4,483,262 2,241,631 6,724,894 3,362,447 10,087,342 5,043,671 15,131,014 7,565,507 22,696,522 11,348,261 34,044,784 17,022,392 8,511,196 4,255,598 2,127,799 6,383,398 3,191,699 9,575,098 4,787,549 14,362,648 7,181,324 3,590,662 1,795,331 5,385,994 2,692,997 8,078,992 4,039,496 2,019,748 1,009,874 504,937 1,514,812 757,406 378,703 1,136,110 568,055 1,704,166 852,083 2,556,250 1,278,125 3,834,376 1,917,188

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