15,115,760

2⁴ × 5 × 11 × 89 × 193

15,115,760 factors as 2^4 × 5 × 11 × 89 × 193. Its 80 positive divisors give a proper-divisor sum of 23,854,960, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 89 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 38,970,720

Proper Divisor Sum 23,854,960

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #15115753 ← → #15115769

Radix Representation

Decimal	15115760
Binary	111001101010010111110000 (24 bits)
Octal	0o71522760
Hexadecimal	0xE6A5F0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 176 178 193 220 356 386 440 445 712 772 880 890 965 979 1,424 1,544 1,780 1,930 1,958 2,123 3,088 3,560 3,860 3,916 4,246 4,895 7,120 7,720 7,832 8,492 9,790 10,615 15,440 15,664 16,984 17,177 19,580 21,230 33,968 34,354 39,160 42,460 68,708

Collatz Trajectory (205 steps to reach 1)

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

15,115,760 7,557,880 3,778,940 1,889,470 944,735 2,834,206 1,417,103 4,251,310 2,125,655 6,376,966 3,188,483 9,565,450 4,782,725 14,348,176 7,174,088 3,587,044 1,793,522 896,761 2,690,284 1,345,142 672,571 2,017,714 1,008,857 3,026,572 1,513,286 756,643 2,269,930 1,134,965 3,404,896 1,702,448 851,224 425,612 212,806 106,403 319,210 159,605 478,816 239,408 119,704 59,852 29,926 14,963 44,890 22,445 67,336 33,668 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983

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