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9,104,840

23 × 5 × 29 × 47 × 167
Abundant Even Composite

9,104,840 factors as 2^3 × 5 × 29 × 47 × 167. Its 64 positive divisors give a proper-divisor sum of 12,667,960, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 47 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,772,800
Proper Divisor Sum 12,667,960
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9104833 ← → #9104873

Radix Representation

Decimal 9104840
Binary 100010101110110111001000 (24 bits)
Octal 0o42566710
Hexadecimal 0x8AEDC8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 29 40 47 58 94 116 145 167 188 232 235 290 334 376 470 580 668 835 940 1,160 1,336 1,363 1,670 1,880 2,726 3,340 4,843 5,452 6,680 6,815 7,849 9,686 10,904 13,630 15,698 19,372 24,215 27,260 31,396 38,744 39,245 48,430 54,520 62,792 78,490 96,860 156,980 193,720 227,621 313,960 455,242 910,484 1,138,105

Collatz Trajectory (194 steps to reach 1)

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

9,104,840 4,552,420 2,276,210 1,138,105 3,414,316 1,707,158 853,579 2,560,738 1,280,369 3,841,108 1,920,554 960,277 2,880,832 1,440,416 720,208 360,104 180,052 90,026 45,013 135,040 67,520 33,760 16,880 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820

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