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Atlas › Integer Profiles › Node 20,071,818

20,071,818

2 × 32 × 13 × 31 × 2767
Abundant Even Composite

20,071,818 factors as 2 × 3^2 × 13 × 31 × 2767. Its 48 positive divisors give a proper-divisor sum of 28,290,678, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 31 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,362,496
Proper Divisor Sum 28,290,678
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20071817 ← → #20071819

Radix Representation

Decimal 20071818
Binary 1001100100100010110001010 (25 bits)
Octal 0o114442612
Hexadecimal 0x132458A

Divisor Catalog (48)

1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1,209 2,418 2,767 3,627 5,534 7,254 8,301 16,602 24,903 35,971 49,806 71,942 85,777 107,913 171,554 215,826 257,331 323,739 514,662 647,478 771,993 1,115,101 1,543,986 2,230,202 3,345,303 6,690,606 10,035,909 20,071,818

Collatz Trajectory (208 steps to reach 1)

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

20,071,818 10,035,909 30,107,728 15,053,864 7,526,932 3,763,466 1,881,733 5,645,200 2,822,600 1,411,300 705,650 352,825 1,058,476 529,238 264,619 793,858 396,929 1,190,788 595,394 297,697 893,092 446,546 223,273 669,820 334,910 167,455 502,366 251,183 753,550 376,775 1,130,326 565,163 1,695,490 847,745 2,543,236 1,271,618 635,809 1,907,428 953,714 476,857 1,430,572 715,286 357,643 1,072,930 536,465 1,609,396 804,698 402,349 1,207,048 603,524 301,762 150,881 452,644 226,322 113,161 339,484 169,742 84,871 254,614 127,307

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