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Atlas › Integer Profiles › Node 20,003,675

20,003,675

52 × 19 × 23 × 1831
Deficient Odd Composite

20,003,675 factors as 5^2 × 19 × 23 × 1831. Its 24 positive divisors give a proper-divisor sum of 7,256,485, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 5^2 × 19 × 23 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,260,160
Proper Divisor Sum 7,256,485
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #20003671 ← → #20003677

Radix Representation

Decimal 20003675
Binary 1001100010011101101011011 (25 bits)
Octal 0o114235533
Hexadecimal 0x1313B5B

Divisor Catalog (24)

1 5 19 23 25 95 115 437 475 575 1,831 2,185 9,155 10,925 34,789 42,113 45,775 173,945 210,565 800,147 869,725 1,052,825 4,000,735 20,003,675

Collatz Trajectory (208 steps to reach 1)

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

20,003,675 60,011,026 30,005,513 90,016,540 45,008,270 22,504,135 67,512,406 33,756,203 101,268,610 50,634,305 151,902,916 75,951,458 37,975,729 113,927,188 56,963,594 28,481,797 85,445,392 42,722,696 21,361,348 10,680,674 5,340,337 16,021,012 8,010,506 4,005,253 12,015,760 6,007,880 3,003,940 1,501,970 750,985 2,252,956 1,126,478 563,239 1,689,718 844,859 2,534,578 1,267,289 3,801,868 1,900,934 950,467 2,851,402 1,425,701 4,277,104 2,138,552 1,069,276 534,638 267,319 801,958 400,979 1,202,938 601,469 1,804,408 902,204 451,102 225,551 676,654 338,327 1,014,982 507,491 1,522,474 761,237

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