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Atlas › Integer Profiles › Node 20,003,118

20,003,118

2 × 3 × 17 × 67 × 2927
Abundant Even Composite

20,003,118 factors as 2 × 3 × 17 × 67 × 2927. Its 32 positive divisors give a proper-divisor sum of 23,003,346, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 67 × 2927
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,006,464
Proper Divisor Sum 23,003,346
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #20003117 ← → #20003131

Radix Representation

Decimal 20003118
Binary 1001100010011100100101110 (25 bits)
Octal 0o114234456
Hexadecimal 0x131392E

Divisor Catalog (32)

1 2 3 6 17 34 51 67 102 134 201 402 1,139 2,278 2,927 3,417 5,854 6,834 8,781 17,562 49,759 99,518 149,277 196,109 298,554 392,218 588,327 1,176,654 3,333,853 6,667,706 10,001,559 20,003,118

Collatz Trajectory (115 steps to reach 1)

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

20,003,118 10,001,559 30,004,678 15,002,339 45,007,018 22,503,509 67,510,528 33,755,264 16,877,632 8,438,816 4,219,408 2,109,704 1,054,852 527,426 263,713 791,140 395,570 197,785 593,356 296,678 148,339 445,018 222,509 667,528 333,764 166,882 83,441 250,324 125,162 62,581 187,744 93,872 46,936 23,468 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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