13,636,782

2 × 3³ × 252533

13,636,782 factors as 2 × 3^3 × 252533. Its 16 positive divisors give a proper-divisor sum of 16,667,298, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 252533

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 30,304,080

Proper Divisor Sum 16,667,298

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #13636751 ← → #13636787

Radix Representation

Decimal	13636782
Binary	110100000001010010101110 (24 bits)
Octal	0o64012256
Hexadecimal	0xD014AE

Divisor Catalog (16)

1 2 3 6 9 18 27 54 252,533 505,066 757,599 1,515,198 2,272,797 4,545,594 6,818,391 13,636,782

Collatz Trajectory (223 steps to reach 1)

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

13,636,782 6,818,391 20,455,174 10,227,587 30,682,762 15,341,381 46,024,144 23,012,072 11,506,036 5,753,018 2,876,509 8,629,528 4,314,764 2,157,382 1,078,691 3,236,074 1,618,037 4,854,112 2,427,056 1,213,528 606,764 303,382 151,691 455,074 227,537 682,612 341,306 170,653 511,960 255,980 127,990 63,995 191,986 95,993 287,980 143,990 71,995 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506

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