8,629,089

3 × 7 × 53 × 7753

Starting at 8,629,089, the Collatz iteration reaches 1 after 119 steps. The first transition is 25887268; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 7753

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,398,912

Proper Divisor Sum 4,769,823

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8629087 ← → #8629109

Radix Representation

Decimal	8629089
Binary	100000111010101101100001 (24 bits)
Octal	0o40725541
Hexadecimal	0x83AB61

Divisor Catalog (16)

1 3 7 21 53 159 371 1,113 7,753 23,259 54,271 162,813 410,909 1,232,727 2,876,363 8,629,089

Collatz Trajectory (119 steps to reach 1)

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

8,629,089 25,887,268 12,943,634 6,471,817 19,415,452 9,707,726 4,853,863 14,561,590 7,280,795 21,842,386 10,921,193 32,763,580 16,381,790 8,190,895 24,572,686 12,286,343 36,859,030 18,429,515 55,288,546 27,644,273 82,932,820 41,466,410 20,733,205 62,199,616 31,099,808 15,549,904 7,774,952 3,887,476 1,943,738 971,869 2,915,608 1,457,804 728,902 364,451 1,093,354 546,677 1,640,032 820,016 410,008 205,004 102,502 51,251 153,754 76,877 230,632 115,316 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736

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