λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,586,006

56,586,006

2 × 33 × 71 × 14759
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 71 × 14759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 127,526,400
Proper Divisor Sum 70,940,394
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #56586001 ← → #56586011

Radix Representation

Decimal 56586006
Binary 11010111110110111100010110 (26 bits)
Octal 0o327667426
Hexadecimal 0x35F6F16

Divisor Catalog (32)

1 2 3 6 9 18 27 54 71 142 213 426 639 1,278 1,917 3,834 14,759 29,518 44,277 88,554 132,831 265,662 398,493 796,986 1,047,889 2,095,778 3,143,667 6,287,334 9,431,001 18,862,002 28,293,003 56,586,006

Collatz Trajectory (132 steps to reach 1)

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

56,586,006 28,293,003 84,879,010 42,439,505 127,318,516 63,659,258 31,829,629 95,488,888 47,744,444 23,872,222 11,936,111 35,808,334 17,904,167 53,712,502 26,856,251 80,568,754 40,284,377 120,853,132 60,426,566 30,213,283 90,639,850 45,319,925 135,959,776 67,979,888 33,989,944 16,994,972 8,497,486 4,248,743 12,746,230 6,373,115 19,119,346 9,559,673 28,679,020 14,339,510 7,169,755 21,509,266 10,754,633 32,263,900 16,131,950 8,065,975 24,197,926 12,098,963 36,296,890 18,148,445 54,445,336 27,222,668 13,611,334 6,805,667 20,417,002 10,208,501 30,625,504 15,312,752 7,656,376 3,828,188 1,914,094 957,047 2,871,142 1,435,571 4,306,714 2,153,357

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #56,586,005 Browse Full Index Next Integer #56,586,007 →