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Atlas › Integer Profiles › Node 20,042,820

20,042,820

22 × 32 × 5 × 7 × 15907
Abundant Even Composite

20,042,820 factors as 2^2 × 3^2 × 5 × 7 × 15907. Its 72 positive divisors give a proper-divisor sum of 49,443,324, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 15907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 69,486,144
Proper Divisor Sum 49,443,324
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20042801 ← → #20042837

Radix Representation

Decimal 20042820
Binary 1001100011101010001000100 (25 bits)
Octal 0o114352104
Hexadecimal 0x131D444

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1,260 15,907 31,814 47,721 63,628 79,535 95,442 111,349 143,163 159,070 190,884 222,698 238,605 286,326 318,140 334,047 445,396 477,210 556,745 572,652 668,094 715,815 954,420 1,002,141 1,113,490

Collatz Trajectory (115 steps to reach 1)

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

20,042,820 10,021,410 5,010,705 15,032,116 7,516,058 3,758,029 11,274,088 5,637,044 2,818,522 1,409,261 4,227,784 2,113,892 1,056,946 528,473 1,585,420 792,710 396,355 1,189,066 594,533 1,783,600 891,800 445,900 222,950 111,475 334,426 167,213 501,640 250,820 125,410 62,705 188,116 94,058 47,029 141,088 70,544 35,272 17,636 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202

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