8,520,621

3 × 17 × 167071

Starting at 8,520,621, the Collatz iteration reaches 1 after 137 steps. The first transition is 25561864; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 167071

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,029,184

Proper Divisor Sum 3,508,563

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8520613 ← → #8520623

Radix Representation

Decimal	8520621
Binary	100000100000001110101101 (24 bits)
Octal	0o40401655
Hexadecimal	0x8203AD

Divisor Catalog (8)

1 3 17 51 167,071 501,213 2,840,207 8,520,621

Collatz Trajectory (137 steps to reach 1)

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

8,520,621 25,561,864 12,780,932 6,390,466 3,195,233 9,585,700 4,792,850 2,396,425 7,189,276 3,594,638 1,797,319 5,391,958 2,695,979 8,087,938 4,043,969 12,131,908 6,065,954 3,032,977 9,098,932 4,549,466 2,274,733 6,824,200 3,412,100 1,706,050 853,025 2,559,076 1,279,538 639,769 1,919,308 959,654 479,827 1,439,482 719,741 2,159,224 1,079,612 539,806 269,903 809,710 404,855 1,214,566 607,283 1,821,850 910,925 2,732,776 1,366,388 683,194 341,597 1,024,792 512,396 256,198 128,099 384,298 192,149 576,448 288,224 144,112 72,056 36,028 18,014 9,007

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