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Atlas › Integer Profiles › Node 20,002,120

20,002,120

23 × 5 × 71 × 7043
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 7043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,645,120
Proper Divisor Sum 25,643,000
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #20002097 ← → #20002123

Radix Representation

Decimal 20002120
Binary 1001100010011010101001000 (25 bits)
Octal 0o114232510
Hexadecimal 0x1313548

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 2,840 7,043 14,086 28,172 35,215 56,344 70,430 140,860 281,720 500,053 1,000,106 2,000,212 2,500,265 4,000,424 5,000,530 10,001,060 20,002,120

Collatz Trajectory (345 steps to reach 1)

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

20,002,120 10,001,060 5,000,530 2,500,265 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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