8,587,642

2 × 7² × 87629

Starting at 8,587,642, the Collatz iteration reaches 1 after 243 steps. The first transition is 4293821; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 87629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,984,730

Proper Divisor Sum 6,397,088

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8587633 ← → #8587687

Radix Representation

Decimal	8587642
Binary	100000110000100101111010 (24 bits)
Octal	0o40604572
Hexadecimal	0x83097A

Divisor Catalog (12)

1 2 7 14 49 98 87,629 175,258 613,403 1,226,806 4,293,821 8,587,642

Collatz Trajectory (243 steps to reach 1)

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

8,587,642 4,293,821 12,881,464 6,440,732 3,220,366 1,610,183 4,830,550 2,415,275 7,245,826 3,622,913 10,868,740 5,434,370 2,717,185 8,151,556 4,075,778 2,037,889 6,113,668 3,056,834 1,528,417 4,585,252 2,292,626 1,146,313 3,438,940 1,719,470 859,735 2,579,206 1,289,603 3,868,810 1,934,405 5,803,216 2,901,608 1,450,804 725,402 362,701 1,088,104 544,052 272,026 136,013 408,040 204,020 102,010 51,005 153,016 76,508 38,254 19,127 57,382 28,691 86,074 43,037 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472

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