9,104,640

2⁸ × 3 × 5 × 2371

9,104,640 factors as 2^8 × 3 × 5 × 2371. Its 72 positive divisors give a proper-divisor sum of 19,985,568, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 2371

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 29,090,208

Proper Divisor Sum 19,985,568

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9104621 ← → #9104647

Radix Representation

Decimal	9104640
Binary	100010101110110100000000 (24 bits)
Octal	0o42566400
Hexadecimal	0x8AED00

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1,280 1,920 2,371 3,840 4,742 7,113 9,484 11,855 14,226 18,968 23,710 28,452 35,565 37,936 47,420 56,904 71,130 75,872 94,840 113,808 142,260 151,744 189,680 227,616 284,520 303,488 379,360

Collatz Trajectory (80 steps to reach 1)

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

9,104,640 4,552,320 2,276,160 1,138,080 569,040 284,520 142,260 71,130 35,565 106,696 53,348 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632

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