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17,510,920

23 × 5 × 7 × 62539
Abundant Even Composite

17,510,920 factors as 2^3 × 5 × 7 × 62539. Its 32 positive divisors give a proper-divisor sum of 27,517,880, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 62539
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,028,800
Proper Divisor Sum 27,517,880
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17510917 ← → #17510921

Radix Representation

Decimal 17510920
Binary 1000010110011001000001000 (25 bits)
Octal 0o102631010
Hexadecimal 0x10B3208

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 62,539 125,078 250,156 312,695 437,773 500,312 625,390 875,546 1,250,780 1,751,092 2,188,865 2,501,560 3,502,184 4,377,730 8,755,460 17,510,920

Collatz Trajectory (138 steps to reach 1)

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

17,510,920 8,755,460 4,377,730 2,188,865 6,566,596 3,283,298 1,641,649 4,924,948 2,462,474 1,231,237 3,693,712 1,846,856 923,428 461,714 230,857 692,572 346,286 173,143 519,430 259,715 779,146 389,573 1,168,720 584,360 292,180 146,090 73,045 219,136 109,568 54,784 27,392 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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