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Atlas › Integer Profiles › Node 20,002,122

20,002,122

2 × 32 × 7 × 158747
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 158747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,529,376
Proper Divisor Sum 29,527,254
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #20002097 ← → #20002123

Radix Representation

Decimal 20002122
Binary 1001100010011010101001010 (25 bits)
Octal 0o114232512
Hexadecimal 0x131354A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 158,747 317,494 476,241 952,482 1,111,229 1,428,723 2,222,458 2,857,446 3,333,687 6,667,374 10,001,061 20,002,122

Collatz Trajectory (345 steps to reach 1)

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

20,002,122 10,001,061 30,003,184 15,001,592 7,500,796 3,750,398 1,875,199 5,625,598 2,812,799 8,438,398 4,219,199 12,657,598 6,328,799 18,986,398 9,493,199 28,479,598 14,239,799 42,719,398 21,359,699 64,079,098 32,039,549 96,118,648 48,059,324 24,029,662 12,014,831 36,044,494 18,022,247 54,066,742 27,033,371 81,100,114 40,550,057 121,650,172 60,825,086 30,412,543 91,237,630 45,618,815 136,856,446 68,428,223 205,284,670 102,642,335 307,927,006 153,963,503 461,890,510 230,945,255 692,835,766 346,417,883 1,039,253,650 519,626,825 1,558,880,476 779,440,238 389,720,119 1,169,160,358 584,580,179 1,753,740,538 876,870,269 2,630,610,808 1,315,305,404 657,652,702 328,826,351 986,479,054

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