λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,718,375
57,718,375
53 × 11 × 13 × 3229
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 11 × 13 × 3229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,651,840
Proper Divisor Sum 26,933,465
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57718361 ← → #57718379

Radix Representation

Decimal 57718375
Binary 11011100001011011001100111 (26 bits)
Octal 0o334133147
Hexadecimal 0x370B667

Divisor Catalog (32)

1 5 11 13 25 55 65 125 143 275 325 715 1,375 1,625 3,229 3,575 16,145 17,875 35,519 41,977 80,725 177,595 209,885 403,625 461,747 887,975 1,049,425 2,308,735 4,439,875 5,247,125 11,543,675 57,718,375

Collatz Trajectory (269 steps to reach 1)

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

57,718,375 173,155,126 86,577,563 259,732,690 129,866,345 389,599,036 194,799,518 97,399,759 292,199,278 146,099,639 438,298,918 219,149,459 657,448,378 328,724,189 986,172,568 493,086,284 246,543,142 123,271,571 369,814,714 184,907,357 554,722,072 277,361,036 138,680,518 69,340,259 208,020,778 104,010,389 312,031,168 156,015,584 78,007,792 39,003,896 19,501,948 9,750,974 4,875,487 14,626,462 7,313,231 21,939,694 10,969,847 32,909,542 16,454,771 49,364,314 24,682,157 74,046,472 37,023,236 18,511,618 9,255,809 27,767,428 13,883,714 6,941,857 20,825,572 10,412,786 5,206,393 15,619,180 7,809,590 3,904,795 11,714,386 5,857,193 17,571,580 8,785,790 4,392,895 13,178,686

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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