8,625,834

2 × 3² × 7 × 17 × 4027

Starting at 8,625,834, the Collatz iteration reaches 1 after 75 steps. The first transition is 4312917; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 4027

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,621,248

Proper Divisor Sum 13,995,414

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8625833 ← → #8625853

Radix Representation

Decimal	8625834
Binary	100000111001111010101010 (24 bits)
Octal	0o40717252
Hexadecimal	0x839EAA

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 2,142 4,027 8,054 12,081 24,162 28,189 36,243 56,378 68,459 72,486 84,567 136,918 169,134 205,377 253,701 410,754 479,213 507,402 616,131 958,426 1,232,262 1,437,639 2,875,278 4,312,917 8,625,834

Collatz Trajectory (75 steps to reach 1)

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

8,625,834 4,312,917 12,938,752 6,469,376 3,234,688 1,617,344 808,672 404,336 202,168 101,084 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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