13,017,590

2 × 5 × 47 × 27697

13,017,590 factors as 2 × 5 × 47 × 27697. Its 16 positive divisors give a proper-divisor sum of 10,913,482, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 27697

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,931,072

Proper Divisor Sum 10,913,482

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13017577 ← → #13017593

Radix Representation

Decimal	13017590
Binary	110001101010000111110110 (24 bits)
Octal	0o61520766
Hexadecimal	0xC6A1F6

Divisor Catalog (16)

1 2 5 10 47 94 235 470 27,697 55,394 138,485 276,970 1,301,759 2,603,518 6,508,795 13,017,590

Collatz Trajectory (179 steps to reach 1)

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

13,017,590 6,508,795 19,526,386 9,763,193 29,289,580 14,644,790 7,322,395 21,967,186 10,983,593 32,950,780 16,475,390 8,237,695 24,713,086 12,356,543 37,069,630 18,534,815 55,604,446 27,802,223 83,406,670 41,703,335 125,110,006 62,555,003 187,665,010 93,832,505 281,497,516 140,748,758 70,374,379 211,123,138 105,561,569 316,684,708 158,342,354 79,171,177 237,513,532 118,756,766 59,378,383 178,135,150 89,067,575 267,202,726 133,601,363 400,804,090 200,402,045 601,206,136 300,603,068 150,301,534 75,150,767 225,452,302 112,726,151 338,178,454 169,089,227 507,267,682 253,633,841 760,901,524 380,450,762 190,225,381 570,676,144 285,338,072 142,669,036 71,334,518 35,667,259 107,001,778

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