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Atlas › Integer Profiles › Node 20,162,025

20,162,025

32 × 52 × 13 × 61 × 113
Deficient Odd Composite

20,162,025 factors as 3^2 × 5^2 × 13 × 61 × 113. Its 72 positive divisors give a proper-divisor sum of 19,715,631, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 61 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 39,877,656
Proper Divisor Sum 19,715,631
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20161993 ← → #20162027

Radix Representation

Decimal 20162025
Binary 1001100111010010111101001 (25 bits)
Octal 0o114722751
Hexadecimal 0x133A5E9

Divisor Catalog (60 of 72)

1 3 5 9 13 15 25 39 45 61 65 75 113 117 183 195 225 305 325 339 549 565 585 793 915 975 1,017 1,469 1,525 1,695 2,379 2,745 2,825 2,925 3,965 4,407 4,575 5,085 6,893 7,137 7,345 8,475 11,895 13,221 13,725 19,825 20,679 22,035 25,425 34,465 35,685 36,725 59,475 62,037 66,105 89,609 103,395 110,175 172,325 178,425

Collatz Trajectory (244 steps to reach 1)

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

20,162,025 60,486,076 30,243,038 15,121,519 45,364,558 22,682,279 68,046,838 34,023,419 102,070,258 51,035,129 153,105,388 76,552,694 38,276,347 114,829,042 57,414,521 172,243,564 86,121,782 43,060,891 129,182,674 64,591,337 193,774,012 96,887,006 48,443,503 145,330,510 72,665,255 217,995,766 108,997,883 326,993,650 163,496,825 490,490,476 245,245,238 122,622,619 367,867,858 183,933,929 551,801,788 275,900,894 137,950,447 413,851,342 206,925,671 620,777,014 310,388,507 931,165,522 465,582,761 1,396,748,284 698,374,142 349,187,071 1,047,561,214 523,780,607 1,571,341,822 785,670,911 2,357,012,734 1,178,506,367 3,535,519,102 1,767,759,551 5,303,278,654 2,651,639,327 7,954,917,982 3,977,458,991 11,932,376,974 5,966,188,487

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