8,622,980

2² × 5 × 241 × 1789

Starting at 8,622,980, the Collatz iteration reaches 1 after 212 steps. The first transition is 4311490; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 241 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,193,560

Proper Divisor Sum 9,570,580

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8622973 ← → #8622983

Radix Representation

Decimal	8622980
Binary	100000111001001110000100 (24 bits)
Octal	0o40711604
Hexadecimal	0x839384

Divisor Catalog (24)

1 2 4 5 10 20 241 482 964 1,205 1,789 2,410 3,578 4,820 7,156 8,945 17,890 35,780 431,149 862,298 1,724,596 2,155,745 4,311,490 8,622,980

Collatz Trajectory (212 steps to reach 1)

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

8,622,980 4,311,490 2,155,745 6,467,236 3,233,618 1,616,809 4,850,428 2,425,214 1,212,607 3,637,822 1,818,911 5,456,734 2,728,367 8,185,102 4,092,551 12,277,654 6,138,827 18,416,482 9,208,241 27,624,724 13,812,362 6,906,181 20,718,544 10,359,272 5,179,636 2,589,818 1,294,909 3,884,728 1,942,364 971,182 485,591 1,456,774 728,387 2,185,162 1,092,581 3,277,744 1,638,872 819,436 409,718 204,859 614,578 307,289 921,868 460,934 230,467 691,402 345,701 1,037,104 518,552 259,276 129,638 64,819 194,458 97,229 291,688 145,844 72,922 36,461 109,384 54,692

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