13,257,595

5 × 13 × 59 × 3457

13,257,595 factors as 5 × 13 × 59 × 3457. Its 16 positive divisors give a proper-divisor sum of 4,170,725, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 5 × 13 × 59 × 3457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,428,320

Proper Divisor Sum 4,170,725

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #13257589 ← → #13257599

Radix Representation

Decimal	13257595
Binary	110010100100101101111011 (24 bits)
Octal	0o62445573
Hexadecimal	0xCA4B7B

Divisor Catalog (16)

1 5 13 59 65 295 767 3,457 3,835 17,285 44,941 203,963 224,705 1,019,815 2,651,519 13,257,595

Collatz Trajectory (241 steps to reach 1)

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

13,257,595 39,772,786 19,886,393 59,659,180 29,829,590 14,914,795 44,744,386 22,372,193 67,116,580 33,558,290 16,779,145 50,337,436 25,168,718 12,584,359 37,753,078 18,876,539 56,629,618 28,314,809 84,944,428 42,472,214 21,236,107 63,708,322 31,854,161 95,562,484 47,781,242 23,890,621 71,671,864 35,835,932 17,917,966 8,958,983 26,876,950 13,438,475 40,315,426 20,157,713 60,473,140 30,236,570 15,118,285 45,354,856 22,677,428 11,338,714 5,669,357 17,008,072 8,504,036 4,252,018 2,126,009 6,378,028 3,189,014 1,594,507 4,783,522 2,391,761 7,175,284 3,587,642 1,793,821 5,381,464 2,690,732 1,345,366 672,683 2,018,050 1,009,025 3,027,076

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