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17,528,610

2 × 3 × 5 × 11 × 53117
Abundant Even Composite

17,528,610 factors as 2 × 3 × 5 × 11 × 53117. Its 32 positive divisors give a proper-divisor sum of 28,365,342, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 53117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,893,952
Proper Divisor Sum 28,365,342
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17528593 ← → #17528611

Radix Representation

Decimal 17528610
Binary 1000010110111011100100010 (25 bits)
Octal 0o102673442
Hexadecimal 0x10B7722

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 53,117 106,234 159,351 265,585 318,702 531,170 584,287 796,755 1,168,574 1,593,510 1,752,861 2,921,435 3,505,722 5,842,870 8,764,305 17,528,610

Collatz Trajectory (200 steps to reach 1)

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

17,528,610 8,764,305 26,292,916 13,146,458 6,573,229 19,719,688 9,859,844 4,929,922 2,464,961 7,394,884 3,697,442 1,848,721 5,546,164 2,773,082 1,386,541 4,159,624 2,079,812 1,039,906 519,953 1,559,860 779,930 389,965 1,169,896 584,948 292,474 146,237 438,712 219,356 109,678 54,839 164,518 82,259 246,778 123,389 370,168 185,084 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179

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