λ
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17,518,540

22 × 5 × 132 × 71 × 73
Abundant Even Composite

17,518,540 factors as 2^2 × 5 × 13^2 × 71 × 73. Its 72 positive divisors give a proper-divisor sum of 23,432,468, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 71 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 40,951,008
Proper Divisor Sum 23,432,468
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17518511 ← → #17518541

Radix Representation

Decimal 17518540
Binary 1000010110100111111001100 (25 bits)
Octal 0o102647714
Hexadecimal 0x10B4FCC

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 26 52 65 71 73 130 142 146 169 260 284 292 338 355 365 676 710 730 845 923 949 1,420 1,460 1,690 1,846 1,898 3,380 3,692 3,796 4,615 4,745 5,183 9,230 9,490 10,366 11,999 12,337 18,460 18,980 20,732 23,998 24,674 25,915 47,996 49,348 51,830 59,995 61,685 67,379 103,660 119,990 123,370 134,758

Collatz Trajectory (107 steps to reach 1)

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

17,518,540 8,759,270 4,379,635 13,138,906 6,569,453 19,708,360 9,854,180 4,927,090 2,463,545 7,390,636 3,695,318 1,847,659 5,542,978 2,771,489 8,314,468 4,157,234 2,078,617 6,235,852 3,117,926 1,558,963 4,676,890 2,338,445 7,015,336 3,507,668 1,753,834 876,917 2,630,752 1,315,376 657,688 328,844 164,422 82,211 246,634 123,317 369,952 184,976 92,488 46,244 23,122 11,561 34,684 17,342 8,671 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130

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