λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,006,620

20,006,620

22 × 5 × 17 × 192 × 163
Abundant Even Composite

20,006,620 factors as 2^2 × 5 × 17 × 19^2 × 163. Its 72 positive divisors give a proper-divisor sum of 27,231,284, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 19^2 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 47,237,904
Proper Divisor Sum 27,231,284
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20006611 ← → #20006621

Radix Representation

Decimal 20006620
Binary 1001100010100011011011100 (25 bits)
Octal 0o114243334
Hexadecimal 0x13146DC

Divisor Catalog (60 of 72)

1 2 4 5 10 17 19 20 34 38 68 76 85 95 163 170 190 323 326 340 361 380 646 652 722 815 1,292 1,444 1,615 1,630 1,805 2,771 3,097 3,230 3,260 3,610 5,542 6,137 6,194 6,460 7,220 11,084 12,274 12,388 13,855 15,485 24,548 27,710 30,685 30,970 52,649 55,420 58,843 61,370 61,940 105,298 117,686 122,740 210,596 235,372

Collatz Trajectory (164 steps to reach 1)

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

20,006,620 10,003,310 5,001,655 15,004,966 7,502,483 22,507,450 11,253,725 33,761,176 16,880,588 8,440,294 4,220,147 12,660,442 6,330,221 18,990,664 9,495,332 4,747,666 2,373,833 7,121,500 3,560,750 1,780,375 5,341,126 2,670,563 8,011,690 4,005,845 12,017,536 6,008,768 3,004,384 1,502,192 751,096 375,548 187,774 93,887 281,662 140,831 422,494 211,247 633,742 316,871 950,614 475,307 1,425,922 712,961 2,138,884 1,069,442 534,721 1,604,164 802,082 401,041 1,203,124 601,562 300,781 902,344 451,172 225,586 112,793 338,380 169,190 84,595 253,786 126,893

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,006,619 Browse Full Index Next Integer #20,006,621 →