λ
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Atlas › Integer Profiles › Node 15,862,900

15,862,900

22 × 52 × 41 × 53 × 73
Abundant Even Composite

15,862,900 factors as 2^2 × 5^2 × 41 × 53 × 73. Its 72 positive divisors give a proper-divisor sum of 20,556,644, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 41 × 53 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 36,419,544
Proper Divisor Sum 20,556,644
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #15862883 ← → #15862901

Radix Representation

Decimal 15862900
Binary 111100100000110001110100 (24 bits)
Octal 0o74406164
Hexadecimal 0xF20C74

Divisor Catalog (60 of 72)

1 2 4 5 10 20 25 41 50 53 73 82 100 106 146 164 205 212 265 292 365 410 530 730 820 1,025 1,060 1,325 1,460 1,825 2,050 2,173 2,650 2,993 3,650 3,869 4,100 4,346 5,300 5,986 7,300 7,738 8,692 10,865 11,972 14,965 15,476 19,345 21,730 29,930 38,690 43,460 54,325 59,860 74,825 77,380 96,725 108,650 149,650 158,629

Collatz Trajectory (125 steps to reach 1)

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

15,862,900 7,931,450 3,965,725 11,897,176 5,948,588 2,974,294 1,487,147 4,461,442 2,230,721 6,692,164 3,346,082 1,673,041 5,019,124 2,509,562 1,254,781 3,764,344 1,882,172 941,086 470,543 1,411,630 705,815 2,117,446 1,058,723 3,176,170 1,588,085 4,764,256 2,382,128 1,191,064 595,532 297,766 148,883 446,650 223,325 669,976 334,988 167,494 83,747 251,242 125,621 376,864 188,432 94,216 47,108 23,554 11,777 35,332 17,666 8,833 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774

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