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Atlas › Integer Profiles › Node 20,021,625

20,021,625

32 × 53 × 13 × 372
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 13 × 37^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 39,947,544
Proper Divisor Sum 19,925,919
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20021623 ← → #20021641

Radix Representation

Decimal 20021625
Binary 1001100011000000101111001 (25 bits)
Octal 0o114300571
Hexadecimal 0x1318179

Divisor Catalog (60 of 72)

1 3 5 9 13 15 25 37 39 45 65 75 111 117 125 185 195 225 325 333 375 481 555 585 925 975 1,125 1,369 1,443 1,625 1,665 2,405 2,775 2,925 4,107 4,329 4,625 4,875 6,845 7,215 8,325 12,025 12,321 13,875 14,625 17,797 20,535 21,645 34,225 36,075 41,625 53,391 60,125 61,605 88,985 102,675 108,225 160,173 171,125 180,375

Collatz Trajectory (164 steps to reach 1)

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

20,021,625 60,064,876 30,032,438 15,016,219 45,048,658 22,524,329 67,572,988 33,786,494 16,893,247 50,679,742 25,339,871 76,019,614 38,009,807 114,029,422 57,014,711 171,044,134 85,522,067 256,566,202 128,283,101 384,849,304 192,424,652 96,212,326 48,106,163 144,318,490 72,159,245 216,477,736 108,238,868 54,119,434 27,059,717 81,179,152 40,589,576 20,294,788 10,147,394 5,073,697 15,221,092 7,610,546 3,805,273 11,415,820 5,707,910 2,853,955 8,561,866 4,280,933 12,842,800 6,421,400 3,210,700 1,605,350 802,675 2,408,026 1,204,013 3,612,040 1,806,020 903,010 451,505 1,354,516 677,258 338,629 1,015,888 507,944 253,972 126,986

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