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17,537,364

22 × 33 × 13 × 12491
Abundant Even Composite

17,537,364 factors as 2^2 × 3^3 × 13 × 12491. Its 48 positive divisors give a proper-divisor sum of 31,431,276, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 12491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,968,640
Proper Divisor Sum 31,431,276
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17537347 ← → #17537411

Radix Representation

Decimal 17537364
Binary 1000010111001100101010100 (25 bits)
Octal 0o102714524
Hexadecimal 0x10B9954

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 12,491 24,982 37,473 49,964 74,946 112,419 149,892 162,383 224,838 324,766 337,257 449,676 487,149 649,532 674,514 974,298 1,349,028 1,461,447 1,948,596 2,922,894 4,384,341 5,845,788 8,768,682 17,537,364

Collatz Trajectory (63 steps to reach 1)

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

17,537,364 8,768,682 4,384,341 13,153,024 6,576,512 3,288,256 1,644,128 822,064 411,032 205,516 102,758 51,379 154,138 77,069 231,208 115,604 57,802 28,901 86,704 43,352 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

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