λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,765,796
57,765,796
22 × 11 × 17 × 29 × 2663
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 29 × 2663
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 120,839,040
Proper Divisor Sum 63,073,244
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #57765793 ← → #57765797

Radix Representation

Decimal 57765796
Binary 11011100010110111110100100 (26 bits)
Octal 0o334267644
Hexadecimal 0x3716FA4

Divisor Catalog (48)

1 2 4 11 17 22 29 34 44 58 68 116 187 319 374 493 638 748 986 1,276 1,972 2,663 5,326 5,423 10,652 10,846 21,692 29,293 45,271 58,586 77,227 90,542 117,172 154,454 181,084 308,908 497,981 849,497 995,962 1,312,859 1,698,994 1,991,924 2,625,718 3,397,988 5,251,436 14,441,449 28,882,898 57,765,796

Collatz Trajectory (176 steps to reach 1)

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

57,765,796 28,882,898 14,441,449 43,324,348 21,662,174 10,831,087 32,493,262 16,246,631 48,739,894 24,369,947 73,109,842 36,554,921 109,664,764 54,832,382 27,416,191 82,248,574 41,124,287 123,372,862 61,686,431 185,059,294 92,529,647 277,588,942 138,794,471 416,383,414 208,191,707 624,575,122 312,287,561 936,862,684 468,431,342 234,215,671 702,647,014 351,323,507 1,053,970,522 526,985,261 1,580,955,784 790,477,892 395,238,946 197,619,473 592,858,420 296,429,210 148,214,605 444,643,816 222,321,908 111,160,954 55,580,477 166,741,432 83,370,716 41,685,358 20,842,679 62,528,038 31,264,019 93,792,058 46,896,029 140,688,088 70,344,044 35,172,022 17,586,011 52,758,034 26,379,017 79,137,052

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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