8,622,957

3 × 7 × 410617

Starting at 8,622,957, the Collatz iteration reaches 1 after 212 steps. The first transition is 25868872; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 410617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,139,776

Proper Divisor Sum 4,516,819

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8622923 ← → #8622959

Radix Representation

Decimal	8622957
Binary	100000111001001101101101 (24 bits)
Octal	0o40711555
Hexadecimal	0x83936D

Divisor Catalog (8)

1 3 7 21 410,617 1,231,851 2,874,319 8,622,957

Collatz Trajectory (212 steps to reach 1)

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

8,622,957 25,868,872 12,934,436 6,467,218 3,233,609 9,700,828 4,850,414 2,425,207 7,275,622 3,637,811 10,913,434 5,456,717 16,370,152 8,185,076 4,092,538 2,046,269 6,138,808 3,069,404 1,534,702 767,351 2,302,054 1,151,027 3,453,082 1,726,541 5,179,624 2,589,812 1,294,906 647,453 1,942,360 971,180 485,590 242,795 728,386 364,193 1,092,580 546,290 273,145 819,436 409,718 204,859 614,578 307,289 921,868 460,934 230,467 691,402 345,701 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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