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8,720,140

22 × 5 × 11 × 13 × 3049
Abundant Even Composite

8,720,140 factors as 2^2 × 5 × 11 × 13 × 3049. Its 48 positive divisors give a proper-divisor sum of 12,800,660, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 13 × 3049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,520,800
Proper Divisor Sum 12,800,660
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8720137 ← → #8720161

Radix Representation

Decimal 8720140
Binary 100001010000111100001100 (24 bits)
Octal 0o41207414
Hexadecimal 0x850F0C

Divisor Catalog (48)

1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1,430 2,860 3,049 6,098 12,196 15,245 30,490 33,539 39,637 60,980 67,078 79,274 134,156 158,548 167,695 198,185 335,390 396,370 436,007 670,780 792,740 872,014 1,744,028 2,180,035 4,360,070 8,720,140

Collatz Trajectory (168 steps to reach 1)

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

8,720,140 4,360,070 2,180,035 6,540,106 3,270,053 9,810,160 4,905,080 2,452,540 1,226,270 613,135 1,839,406 919,703 2,759,110 1,379,555 4,138,666 2,069,333 6,208,000 3,104,000 1,552,000 776,000 388,000 194,000 97,000 48,500 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227

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