12,976,015

5 × 13 × 17 × 11743

12,976,015 factors as 5 × 13 × 17 × 11743. Its 16 positive divisors give a proper-divisor sum of 4,780,913, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 5 × 13 × 17 × 11743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,756,928

Proper Divisor Sum 4,780,913

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #12976013 ← → #12976037

Radix Representation

Decimal	12976015
Binary	110001011111111110001111 (24 bits)
Octal	0o61377617
Hexadecimal	0xC5FF8F

Divisor Catalog (16)

1 5 13 17 65 85 221 1,105 11,743 58,715 152,659 199,631 763,295 998,155 2,595,203 12,976,015

Collatz Trajectory (91 steps to reach 1)

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

12,976,015 38,928,046 19,464,023 58,392,070 29,196,035 87,588,106 43,794,053 131,382,160 65,691,080 32,845,540 16,422,770 8,211,385 24,634,156 12,317,078 6,158,539 18,475,618 9,237,809 27,713,428 13,856,714 6,928,357 20,785,072 10,392,536 5,196,268 2,598,134 1,299,067 3,897,202 1,948,601 5,845,804 2,922,902 1,461,451 4,384,354 2,192,177 6,576,532 3,288,266 1,644,133 4,932,400 2,466,200 1,233,100 616,550 308,275 924,826 462,413 1,387,240 693,620 346,810 173,405 520,216 260,108 130,054 65,027 195,082 97,541 292,624 146,312 73,156 36,578 18,289 54,868 27,434 13,717

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