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Atlas › Integer Profiles › Node 20,039,994

20,039,994

2 × 33 × 13 × 28547
Abundant Even Composite

20,039,994 factors as 2 × 3^3 × 13 × 28547. Its 32 positive divisors give a proper-divisor sum of 27,920,646, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 28547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,960,640
Proper Divisor Sum 27,920,646
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #20039993 ← → #20040049

Radix Representation

Decimal 20039994
Binary 1001100011100100100111010 (25 bits)
Octal 0o114344472
Hexadecimal 0x131C93A

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 28,547 57,094 85,641 171,282 256,923 371,111 513,846 742,222 770,769 1,113,333 1,541,538 2,226,666 3,339,999 6,679,998 10,019,997 20,039,994

Collatz Trajectory (89 steps to reach 1)

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

20,039,994 10,019,997 30,059,992 15,029,996 7,514,998 3,757,499 11,272,498 5,636,249 16,908,748 8,454,374 4,227,187 12,681,562 6,340,781 19,022,344 9,511,172 4,755,586 2,377,793 7,133,380 3,566,690 1,783,345 5,350,036 2,675,018 1,337,509 4,012,528 2,006,264 1,003,132 501,566 250,783 752,350 376,175 1,128,526 564,263 1,692,790 846,395 2,539,186 1,269,593 3,808,780 1,904,390 952,195 2,856,586 1,428,293 4,284,880 2,142,440 1,071,220 535,610 267,805 803,416 401,708 200,854 100,427 301,282 150,641 451,924 225,962 112,981 338,944 169,472 84,736 42,368 21,184

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