8,656,731

3² × 577 × 1667

Starting at 8,656,731, the Collatz iteration reaches 1 after 150 steps. The first transition is 25970194; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 577 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,533,352

Proper Divisor Sum 3,876,621

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8656729 ← → #8656733

Radix Representation

Decimal	8656731
Binary	100001000001011101011011 (24 bits)
Octal	0o41013533
Hexadecimal	0x84175B

Divisor Catalog (12)

1 3 9 577 1,667 1,731 5,001 5,193 15,003 961,859 2,885,577 8,656,731

Collatz Trajectory (150 steps to reach 1)

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

8,656,731 25,970,194 12,985,097 38,955,292 19,477,646 9,738,823 29,216,470 14,608,235 43,824,706 21,912,353 65,737,060 32,868,530 16,434,265 49,302,796 24,651,398 12,325,699 36,977,098 18,488,549 55,465,648 27,732,824 13,866,412 6,933,206 3,466,603 10,399,810 5,199,905 15,599,716 7,799,858 3,899,929 11,699,788 5,849,894 2,924,947 8,774,842 4,387,421 13,162,264 6,581,132 3,290,566 1,645,283 4,935,850 2,467,925 7,403,776 3,701,888 1,850,944 925,472 462,736 231,368 115,684 57,842 28,921 86,764 43,382 21,691 65,074 32,537 97,612 48,806 24,403 73,210 36,605 109,816 54,908

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