8,904,460

2² × 5 × 431 × 1033

Starting at 8,904,460, the Collatz iteration reaches 1 after 181 steps. The first transition is 4452230; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 431 × 1033

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,760,896

Proper Divisor Sum 9,856,436

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8904451 ← → #8904487

Radix Representation

Decimal	8904460
Binary	100001111101111100001100 (24 bits)
Octal	0o41757414
Hexadecimal	0x87DF0C

Divisor Catalog (24)

1 2 4 5 10 20 431 862 1,033 1,724 2,066 2,155 4,132 4,310 5,165 8,620 10,330 20,660 445,223 890,446 1,780,892 2,226,115 4,452,230 8,904,460

Collatz Trajectory (181 steps to reach 1)

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

8,904,460 4,452,230 2,226,115 6,678,346 3,339,173 10,017,520 5,008,760 2,504,380 1,252,190 626,095 1,878,286 939,143 2,817,430 1,408,715 4,226,146 2,113,073 6,339,220 3,169,610 1,584,805 4,754,416 2,377,208 1,188,604 594,302 297,151 891,454 445,727 1,337,182 668,591 2,005,774 1,002,887 3,008,662 1,504,331 4,512,994 2,256,497 6,769,492 3,384,746 1,692,373 5,077,120 2,538,560 1,269,280 634,640 317,320 158,660 79,330 39,665 118,996 59,498 29,749 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570

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