13,456,331

7² × 101 × 2719

13,456,331 factors as 7^2 × 101 × 2719. Its 12 positive divisors give a proper-divisor sum of 2,357,749, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 7^2 × 101 × 2719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,814,080

Proper Divisor Sum 2,357,749

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13456327 ← → #13456337

Radix Representation

Decimal	13456331
Binary	110011010101001111001011 (24 bits)
Octal	0o63251713
Hexadecimal	0xCD53CB

Divisor Catalog (12)

1 7 49 101 707 2,719 4,949 19,033 133,231 274,619 1,922,333 13,456,331

Collatz Trajectory (109 steps to reach 1)

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

13,456,331 40,368,994 20,184,497 60,553,492 30,276,746 15,138,373 45,415,120 22,707,560 11,353,780 5,676,890 2,838,445 8,515,336 4,257,668 2,128,834 1,064,417 3,193,252 1,596,626 798,313 2,394,940 1,197,470 598,735 1,796,206 898,103 2,694,310 1,347,155 4,041,466 2,020,733 6,062,200 3,031,100 1,515,550 757,775 2,273,326 1,136,663 3,409,990 1,704,995 5,114,986 2,557,493 7,672,480 3,836,240 1,918,120 959,060 479,530 239,765 719,296 359,648 179,824 89,912 44,956 22,478 11,239 33,718 16,859 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354

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