8,603,250

2 × 3 × 5³ × 11471

Starting at 8,603,250, the Collatz iteration reaches 1 after 124 steps. The first transition is 4301625; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 11471

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,475,584

Proper Divisor Sum 12,872,334

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8603249 ← → #8603251

Radix Representation

Decimal	8603250
Binary	100000110100011001110010 (24 bits)
Octal	0o40643162
Hexadecimal	0x834672

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 11,471 22,942 34,413 57,355 68,826 114,710 172,065 286,775 344,130 573,550 860,325 1,433,875 1,720,650 2,867,750 4,301,625 8,603,250

Collatz Trajectory (124 steps to reach 1)

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

8,603,250 4,301,625 12,904,876 6,452,438 3,226,219 9,678,658 4,839,329 14,517,988 7,258,994 3,629,497 10,888,492 5,444,246 2,722,123 8,166,370 4,083,185 12,249,556 6,124,778 3,062,389 9,187,168 4,593,584 2,296,792 1,148,396 574,198 287,099 861,298 430,649 1,291,948 645,974 322,987 968,962 484,481 1,453,444 726,722 363,361 1,090,084 545,042 272,521 817,564 408,782 204,391 613,174 306,587 919,762 459,881 1,379,644 689,822 344,911 1,034,734 517,367 1,552,102 776,051 2,328,154 1,164,077 3,492,232 1,746,116 873,058 436,529 1,309,588 654,794 327,397

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