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Atlas › Integer Profiles › Node 20,002,130

20,002,130

2 × 5 × 31 × 113 × 571
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 31 × 113 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,559,808
Proper Divisor Sum 17,557,678
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #20002123 ← → #20002133

Radix Representation

Decimal 20002130
Binary 1001100010011010101010010 (25 bits)
Octal 0o114232522
Hexadecimal 0x1313552

Divisor Catalog (32)

1 2 5 10 31 62 113 155 226 310 565 571 1,130 1,142 2,855 3,503 5,710 7,006 17,515 17,701 35,030 35,402 64,523 88,505 129,046 177,010 322,615 645,230 2,000,213 4,000,426 10,001,065 20,002,130

Collatz Trajectory (345 steps to reach 1)

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

20,002,130 10,001,065 30,003,196 15,001,598 7,500,799 22,502,398 11,251,199 33,753,598 16,876,799 50,630,398 25,315,199 75,945,598 37,972,799 113,918,398 56,959,199 170,877,598 85,438,799 256,316,398 128,158,199 384,474,598 192,237,299 576,711,898 288,355,949 865,067,848 432,533,924 216,266,962 108,133,481 324,400,444 162,200,222 81,100,111 243,300,334 121,650,167 364,950,502 182,475,251 547,425,754 273,712,877 821,138,632 410,569,316 205,284,658 102,642,329 307,926,988 153,963,494 76,981,747 230,945,242 115,472,621 346,417,864 173,208,932 86,604,466 43,302,233 129,906,700 64,953,350 32,476,675 97,430,026 48,715,013 146,145,040 73,072,520 36,536,260 18,268,130 9,134,065 27,402,196

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