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5,116,760

23 × 5 × 11 × 29 × 401
Abundant Even Composite

5,116,760 factors as 2^3 × 5 × 11 × 29 × 401. Its 64 positive divisors give a proper-divisor sum of 7,908,040, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 29 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,024,800
Proper Divisor Sum 7,908,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5116739 ← → #5116763

Radix Representation

Decimal 5116760
Binary 10011100001001101011000 (23 bits)
Octal 0o23411530
Hexadecimal 0x4E1358

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 401 440 580 638 802 1,160 1,276 1,595 1,604 2,005 2,552 3,190 3,208 4,010 4,411 6,380 8,020 8,822 11,629 12,760 16,040 17,644 22,055 23,258 35,288 44,110 46,516 58,145 88,220 93,032 116,290 127,919 176,440 232,580 255,838 465,160 511,676 639,595

Collatz Trajectory (175 steps to reach 1)

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

5,116,760 2,558,380 1,279,190 639,595 1,918,786 959,393 2,878,180 1,439,090 719,545 2,158,636 1,079,318 539,659 1,618,978 809,489 2,428,468 1,214,234 607,117 1,821,352 910,676 455,338 227,669 683,008 341,504 170,752 85,376 42,688 21,344 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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