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Atlas › Integer Profiles › Node 20,007,918

20,007,918

2 × 33 × 7 × 41 × 1291
Abundant Even Composite

20,007,918 factors as 2 × 3^3 × 7 × 41 × 1291. Its 64 positive divisors give a proper-divisor sum of 32,085,522, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 41 × 1291
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 52,093,440
Proper Divisor Sum 32,085,522
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20007881 ← → #20007919

Radix Representation

Decimal 20007918
Binary 1001100010100101111101110 (25 bits)
Octal 0o114245756
Hexadecimal 0x1314BEE

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1,107 1,291 1,722 2,214 2,582 2,583 3,873 5,166 7,746 7,749 9,037 11,619 15,498 18,074 23,238 27,111 34,857 52,931 54,222 69,714 81,333 105,862 158,793 162,666 243,999 317,586 370,517 476,379 487,998 741,034 952,758 1,111,551 1,429,137 2,223,102 2,858,274

Collatz Trajectory (164 steps to reach 1)

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

20,007,918 10,003,959 30,011,878 15,005,939 45,017,818 22,508,909 67,526,728 33,763,364 16,881,682 8,440,841 25,322,524 12,661,262 6,330,631 18,991,894 9,495,947 28,487,842 14,243,921 42,731,764 21,365,882 10,682,941 32,048,824 16,024,412 8,012,206 4,006,103 12,018,310 6,009,155 18,027,466 9,013,733 27,041,200 13,520,600 6,760,300 3,380,150 1,690,075 5,070,226 2,535,113 7,605,340 3,802,670 1,901,335 5,704,006 2,852,003 8,556,010 4,278,005 12,834,016 6,417,008 3,208,504 1,604,252 802,126 401,063 1,203,190 601,595 1,804,786 902,393 2,707,180 1,353,590 676,795 2,030,386 1,015,193 3,045,580 1,522,790 761,395

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