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Atlas › Integer Profiles › Node 20,002,518

20,002,518

2 × 33 × 29 × 53 × 241
Abundant Even Composite

20,002,518 factors as 2 × 3^3 × 29 × 53 × 241. Its 64 positive divisors give a proper-divisor sum of 27,042,282, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 53 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 47,044,800
Proper Divisor Sum 27,042,282
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20002487 ← → #20002529

Radix Representation

Decimal 20002518
Binary 1001100010011011011010110 (25 bits)
Octal 0o114233326
Hexadecimal 0x13136D6

Divisor Catalog (60 of 64)

1 2 3 6 9 18 27 29 53 54 58 87 106 159 174 241 261 318 477 482 522 723 783 954 1,431 1,446 1,537 1,566 2,169 2,862 3,074 4,338 4,611 6,507 6,989 9,222 12,773 13,014 13,833 13,978 20,967 25,546 27,666 38,319 41,499 41,934 62,901 76,638 82,998 114,957 125,802 188,703 229,914 344,871 370,417 377,406 689,742 740,834 1,111,251 2,222,502

Collatz Trajectory (177 steps to reach 1)

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

20,002,518 10,001,259 30,003,778 15,001,889 45,005,668 22,502,834 11,251,417 33,754,252 16,877,126 8,438,563 25,315,690 12,657,845 37,973,536 18,986,768 9,493,384 4,746,692 2,373,346 1,186,673 3,560,020 1,780,010 890,005 2,670,016 1,335,008 667,504 333,752 166,876 83,438 41,719 125,158 62,579 187,738 93,869 281,608 140,804 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526

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