λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,106,924
57,106,924
22 × 7 × 43 × 47431
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 47431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 116,872,448
Proper Divisor Sum 59,765,524
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57106909 ← → #57106949

Radix Representation

Decimal 57106924
Binary 11011001110110000111101100 (26 bits)
Octal 0o331660754
Hexadecimal 0x36761EC

Divisor Catalog (24)

1 2 4 7 14 28 43 86 172 301 602 1,204 47,431 94,862 189,724 332,017 664,034 1,328,068 2,039,533 4,079,066 8,158,132 14,276,731 28,553,462 57,106,924

Collatz Trajectory (163 steps to reach 1)

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

57,106,924 28,553,462 14,276,731 42,830,194 21,415,097 64,245,292 32,122,646 16,061,323 48,183,970 24,091,985 72,275,956 36,137,978 18,068,989 54,206,968 27,103,484 13,551,742 6,775,871 20,327,614 10,163,807 30,491,422 15,245,711 45,737,134 22,868,567 68,605,702 34,302,851 102,908,554 51,454,277 154,362,832 77,181,416 38,590,708 19,295,354 9,647,677 28,943,032 14,471,516 7,235,758 3,617,879 10,853,638 5,426,819 16,280,458 8,140,229 24,420,688 12,210,344 6,105,172 3,052,586 1,526,293 4,578,880 2,289,440 1,144,720 572,360 286,180 143,090 71,545 214,636 107,318 53,659 160,978 80,489 241,468 120,734 60,367

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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