λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,764,410
57,764,410
2 × 5 × 11 × 47 × 11173
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 47 × 11173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,852,032
Proper Divisor Sum 58,087,622
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57764407 ← → #57764417

Radix Representation

Decimal 57764410
Binary 11011100010110101000111010 (26 bits)
Octal 0o334265072
Hexadecimal 0x3716A3A

Divisor Catalog (32)

1 2 5 10 11 22 47 55 94 110 235 470 517 1,034 2,585 5,170 11,173 22,346 55,865 111,730 122,903 245,806 525,131 614,515 1,050,262 1,229,030 2,625,655 5,251,310 5,776,441 11,552,882 28,882,205 57,764,410

Collatz Trajectory (176 steps to reach 1)

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

57,764,410 28,882,205 86,646,616 43,323,308 21,661,654 10,830,827 32,492,482 16,246,241 48,738,724 24,369,362 12,184,681 36,554,044 18,277,022 9,138,511 27,415,534 13,707,767 41,123,302 20,561,651 61,684,954 30,842,477 92,527,432 46,263,716 23,131,858 11,565,929 34,697,788 17,348,894 8,674,447 26,023,342 13,011,671 39,035,014 19,517,507 58,552,522 29,276,261 87,828,784 43,914,392 21,957,196 10,978,598 5,489,299 16,467,898 8,233,949 24,701,848 12,350,924 6,175,462 3,087,731 9,263,194 4,631,597 13,894,792 6,947,396 3,473,698 1,736,849 5,210,548 2,605,274 1,302,637 3,907,912 1,953,956 976,978 488,489 1,465,468 732,734 366,367

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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