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71,160,880

24 × 5 × 7 × 83 × 1531
Abundant Even Composite

71,160,880 factors as 2^4 × 5 × 7 × 83 × 1531. Its 80 positive divisors give a proper-divisor sum of 120,326,864, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 83 × 1531
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 191,487,744
Proper Divisor Sum 120,326,864
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #71160877 ← → #71160883

Radix Representation

Decimal 71160880
Binary 100001111011101010000110000 (27 bits)
Octal 0o417352060
Hexadecimal 0x43DD430

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1,162 1,328 1,531 1,660 2,324 2,905 3,062 3,320 4,648 5,810 6,124 6,640 7,655 9,296 10,717 11,620 12,248 15,310 21,434 23,240 24,496 30,620 42,868 46,480 53,585 61,240 85,736 107,170 122,480 127,073 171,472 214,340 254,146

Collatz Trajectory (184 steps to reach 1)

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

71,160,880 35,580,440 17,790,220 8,895,110 4,447,555 13,342,666 6,671,333 20,014,000 10,007,000 5,003,500 2,501,750 1,250,875 3,752,626 1,876,313 5,628,940 2,814,470 1,407,235 4,221,706 2,110,853 6,332,560 3,166,280 1,583,140 791,570 395,785 1,187,356 593,678 296,839 890,518 445,259 1,335,778 667,889 2,003,668 1,001,834 500,917 1,502,752 751,376 375,688 187,844 93,922 46,961 140,884 70,442 35,221 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092

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