13,629,472

2⁵ × 59 × 7219

13,629,472 factors as 2^5 × 59 × 7219. Its 24 positive divisors give a proper-divisor sum of 13,662,128, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^5 × 59 × 7219

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 27,291,600

Proper Divisor Sum 13,662,128

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13629443 ← → #13629487

Radix Representation

Decimal	13629472
Binary	110011111111100000100000 (24 bits)
Octal	0o63774040
Hexadecimal	0xCFF820

Divisor Catalog (24)

Collatz Trajectory (86 steps to reach 1)

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

13,629,472 6,814,736 3,407,368 1,703,684 851,842 425,921 1,277,764 638,882 319,441 958,324 479,162 239,581 718,744 359,372 179,686 89,843 269,530 134,765 404,296 202,148 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67

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