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17,514,500

22 × 53 × 23 × 1523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^3 × 23 × 1523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,940,992
Proper Divisor Sum 22,426,492
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #17514499 ← → #17514527

Radix Representation

Decimal 17514500
Binary 1000010110100000000000100 (25 bits)
Octal 0o102640004
Hexadecimal 0x10B4004

Divisor Catalog (48)

1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1,150 1,523 2,300 2,875 3,046 5,750 6,092 7,615 11,500 15,230 30,460 35,029 38,075 70,058 76,150 140,116 152,300 175,145 190,375 350,290 380,750 700,580 761,500 875,725 1,751,450 3,502,900 4,378,625 8,757,250 17,514,500

Collatz Trajectory (169 steps to reach 1)

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

17,514,500 8,757,250 4,378,625 13,135,876 6,567,938 3,283,969 9,851,908 4,925,954 2,462,977 7,388,932 3,694,466 1,847,233 5,541,700 2,770,850 1,385,425 4,156,276 2,078,138 1,039,069 3,117,208 1,558,604 779,302 389,651 1,168,954 584,477 1,753,432 876,716 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013 156,040 78,020 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520

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