λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,768,520

15,768,520

23 × 5 × 17 × 23189
Abundant Even Composite

15,768,520 factors as 2^3 × 5 × 17 × 23189. Its 32 positive divisors give a proper-divisor sum of 21,799,280, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 23189
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,567,800
Proper Divisor Sum 21,799,280
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15768481 ← → #15768541

Radix Representation

Decimal 15768520
Binary 111100001001101111001000 (24 bits)
Octal 0o74115710
Hexadecimal 0xF09BC8

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 23,189 46,378 92,756 115,945 185,512 231,890 394,213 463,780 788,426 927,560 1,576,852 1,971,065 3,153,704 3,942,130 7,884,260 15,768,520

Collatz Trajectory (148 steps to reach 1)

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

15,768,520 7,884,260 3,942,130 1,971,065 5,913,196 2,956,598 1,478,299 4,434,898 2,217,449 6,652,348 3,326,174 1,663,087 4,989,262 2,494,631 7,483,894 3,741,947 11,225,842 5,612,921 16,838,764 8,419,382 4,209,691 12,629,074 6,314,537 18,943,612 9,471,806 4,735,903 14,207,710 7,103,855 21,311,566 10,655,783 31,967,350 15,983,675 47,951,026 23,975,513 71,926,540 35,963,270 17,981,635 53,944,906 26,972,453 80,917,360 40,458,680 20,229,340 10,114,670 5,057,335 15,172,006 7,586,003 22,758,010 11,379,005 34,137,016 17,068,508 8,534,254 4,267,127 12,801,382 6,400,691 19,202,074 9,601,037 28,803,112 14,401,556 7,200,778 3,600,389

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #15,768,519 Browse Full Index Next Integer #15,768,521 →