8,516,628

2² × 3² × 236573

Starting at 8,516,628, the Collatz iteration reaches 1 after 212 steps. The first transition is 4258314; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 236573

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 21,528,234

Proper Divisor Sum 13,011,606

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8516621 ← → #8516639

Radix Representation

Decimal	8516628
Binary	100000011111010000010100 (24 bits)
Octal	0o40372024
Hexadecimal	0x81F414

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 236,573 473,146 709,719 946,292 1,419,438 2,129,157 2,838,876 4,258,314 8,516,628

Collatz Trajectory (212 steps to reach 1)

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

8,516,628 4,258,314 2,129,157 6,387,472 3,193,736 1,596,868 798,434 399,217 1,197,652 598,826 299,413 898,240 449,120 224,560 112,280 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022

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