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Atlas › Integer Profiles › Node 53,985,508

53,985,508

22 × 232 × 31 × 823
Deficient Even Composite

53,985,508 factors as 2^2 × 23^2 × 31 × 823. Its 36 positive divisors give a proper-divisor sum of 48,085,020, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 23^2 × 31 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 102,070,528
Proper Divisor Sum 48,085,020
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #53985473 ← → #53985509

Radix Representation

Decimal 53985508
Binary 11001101111100000011100100 (26 bits)
Octal 0o315740344
Hexadecimal 0x337C0E4

Divisor Catalog (36)

1 2 4 23 31 46 62 92 124 529 713 823 1,058 1,426 1,646 2,116 2,852 3,292 16,399 18,929 25,513 32,798 37,858 51,026 65,596 75,716 102,052 435,367 586,799 870,734 1,173,598 1,741,468 2,347,196 13,496,377 26,992,754 53,985,508

Collatz Trajectory (225 steps to reach 1)

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

53,985,508 26,992,754 13,496,377 40,489,132 20,244,566 10,122,283 30,366,850 15,183,425 45,550,276 22,775,138 11,387,569 34,162,708 17,081,354 8,540,677 25,622,032 12,811,016 6,405,508 3,202,754 1,601,377 4,804,132 2,402,066 1,201,033 3,603,100 1,801,550 900,775 2,702,326 1,351,163 4,053,490 2,026,745 6,080,236 3,040,118 1,520,059 4,560,178 2,280,089 6,840,268 3,420,134 1,710,067 5,130,202 2,565,101 7,695,304 3,847,652 1,923,826 961,913 2,885,740 1,442,870 721,435 2,164,306 1,082,153 3,246,460 1,623,230 811,615 2,434,846 1,217,423 3,652,270 1,826,135 5,478,406 2,739,203 8,217,610 4,108,805 12,326,416

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