8,972,046

2 × 3⁵ × 18461

8,972,046 factors as 2 × 3^5 × 18461. Its 24 positive divisors give a proper-divisor sum of 11,188,458, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 18461

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,160,504

Proper Divisor Sum 11,188,458

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8972023 ← → #8972053

Radix Representation

Decimal	8972046
Binary	100010001110011100001110 (24 bits)
Octal	0o42163416
Hexadecimal	0x88E70E

Divisor Catalog (24)

Collatz Trajectory (225 steps to reach 1)

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

8,972,046 4,486,023 13,458,070 6,729,035 20,187,106 10,093,553 30,280,660 15,140,330 7,570,165 22,710,496 11,355,248 5,677,624 2,838,812 1,419,406 709,703 2,129,110 1,064,555 3,193,666 1,596,833 4,790,500 2,395,250 1,197,625 3,592,876 1,796,438 898,219 2,694,658 1,347,329 4,041,988 2,020,994 1,010,497 3,031,492 1,515,746 757,873 2,273,620 1,136,810 568,405 1,705,216 852,608 426,304 213,152 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583

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