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17,526,690

2 × 32 × 5 × 23 × 8467
Abundant Even Composite

17,526,690 factors as 2 × 3^2 × 5 × 23 × 8467. Its 48 positive divisors give a proper-divisor sum of 30,029,598, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23 × 8467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,556,288
Proper Divisor Sum 30,029,598
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17526689 ← → #17526697

Radix Representation

Decimal 17526690
Binary 1000010110110111110100010 (25 bits)
Octal 0o102667642
Hexadecimal 0x10B6FA2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1,035 2,070 8,467 16,934 25,401 42,335 50,802 76,203 84,670 127,005 152,406 194,741 254,010 381,015 389,482 584,223 762,030 973,705 1,168,446 1,752,669 1,947,410 2,921,115 3,505,338 5,842,230 8,763,345 17,526,690

Collatz Trajectory (169 steps to reach 1)

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

17,526,690 8,763,345 26,290,036 13,145,018 6,572,509 19,717,528 9,858,764 4,929,382 2,464,691 7,394,074 3,697,037 11,091,112 5,545,556 2,772,778 1,386,389 4,159,168 2,079,584 1,039,792 519,896 259,948 129,974 64,987 194,962 97,481 292,444 146,222 73,111 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688 30,844 15,422 7,711 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184

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