λ
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Atlas › Integer Profiles › Node 20,043,620

20,043,620

22 × 5 × 47 × 21323
Abundant Even Composite

20,043,620 factors as 2^2 × 5 × 47 × 21323. Its 24 positive divisors give a proper-divisor sum of 22,945,564, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 21323
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 42,989,184
Proper Divisor Sum 22,945,564
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #20043619 ← → #20043623

Radix Representation

Decimal 20043620
Binary 1001100011101011101100100 (25 bits)
Octal 0o114353544
Hexadecimal 0x131D764

Divisor Catalog (24)

1 2 4 5 10 20 47 94 188 235 470 940 21,323 42,646 85,292 106,615 213,230 426,460 1,002,181 2,004,362 4,008,724 5,010,905 10,021,810 20,043,620

Collatz Trajectory (115 steps to reach 1)

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

20,043,620 10,021,810 5,010,905 15,032,716 7,516,358 3,758,179 11,274,538 5,637,269 16,911,808 8,455,904 4,227,952 2,113,976 1,056,988 528,494 264,247 792,742 396,371 1,189,114 594,557 1,783,672 891,836 445,918 222,959 668,878 334,439 1,003,318 501,659 1,504,978 752,489 2,257,468 1,128,734 564,367 1,693,102 846,551 2,539,654 1,269,827 3,809,482 1,904,741 5,714,224 2,857,112 1,428,556 714,278 357,139 1,071,418 535,709 1,607,128 803,564 401,782 200,891 602,674 301,337 904,012 452,006 226,003 678,010 339,005 1,017,016 508,508 254,254 127,127

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