λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,715,260
57,715,260
22 × 3 × 5 × 73 × 13177
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 73 × 13177
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 163,828,896
Proper Divisor Sum 106,113,636
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57715253 ← → #57715271

Radix Representation

Decimal 57715260
Binary 11011100001010101000111100 (26 bits)
Octal 0o334125074
Hexadecimal 0x370AA3C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1,095 1,460 2,190 4,380 13,177 26,354 39,531 52,708 65,885 79,062 131,770 158,124 197,655 263,540 395,310 790,620 961,921 1,923,842 2,885,763 3,847,684 4,809,605 5,771,526 9,619,210 11,543,052 14,428,815 19,238,420 28,857,630 57,715,260

Collatz Trajectory (119 steps to reach 1)

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

57,715,260 28,857,630 14,428,815 43,286,446 21,643,223 64,929,670 32,464,835 97,394,506 48,697,253 146,091,760 73,045,880 36,522,940 18,261,470 9,130,735 27,392,206 13,696,103 41,088,310 20,544,155 61,632,466 30,816,233 92,448,700 46,224,350 23,112,175 69,336,526 34,668,263 104,004,790 52,002,395 156,007,186 78,003,593 234,010,780 117,005,390 58,502,695 175,508,086 87,754,043 263,262,130 131,631,065 394,893,196 197,446,598 98,723,299 296,169,898 148,084,949 444,254,848 222,127,424 111,063,712 55,531,856 27,765,928 13,882,964 6,941,482 3,470,741 10,412,224 5,206,112 2,603,056 1,301,528 650,764 325,382 162,691 488,074 244,037 732,112 366,056

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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