13,635,972

2² × 3³ × 7 × 17 × 1061

13,635,972 factors as 2^2 × 3^3 × 7 × 17 × 1061. Its 96 positive divisors give a proper-divisor sum of 29,183,868, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 17 × 1061

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 42,819,840

Proper Divisor Sum 29,183,868

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #13635971 ← → #13635991

Radix Representation

Decimal	13635972
Binary	110100000001000110000100 (24 bits)
Octal	0o64010604
Hexadecimal	0xD01184

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1,061 1,071 1,428 1,836 2,122 2,142 3,183 3,213 4,244 4,284 6,366 6,426 7,427 9,549 12,732 12,852 14,854 18,037 19,098 22,281

Collatz Trajectory (223 steps to reach 1)

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

13,635,972 6,817,986 3,408,993 10,226,980 5,113,490 2,556,745 7,670,236 3,835,118 1,917,559 5,752,678 2,876,339 8,629,018 4,314,509 12,943,528 6,471,764 3,235,882 1,617,941 4,853,824 2,426,912 1,213,456 606,728 303,364 151,682 75,841 227,524 113,762 56,881 170,644 85,322 42,661 127,984 63,992 31,996 15,998 7,999 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506

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