λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,798,685
57,798,685
5 × 72 × 269 × 877
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^2 × 269 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 81,074,520
Proper Divisor Sum 23,275,835
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #57798677 ← → #57798707

Radix Representation

Decimal 57798685
Binary 11011100011111000000011101 (26 bits)
Octal 0o334370035
Hexadecimal 0x371F01D

Divisor Catalog (24)

1 5 7 35 49 245 269 877 1,345 1,883 4,385 6,139 9,415 13,181 30,695 42,973 65,905 214,865 235,913 1,179,565 1,651,391 8,256,955 11,559,737 57,798,685

Collatz Trajectory (207 steps to reach 1)

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

57,798,685 173,396,056 86,698,028 43,349,014 21,674,507 65,023,522 32,511,761 97,535,284 48,767,642 24,383,821 73,151,464 36,575,732 18,287,866 9,143,933 27,431,800 13,715,900 6,857,950 3,428,975 10,286,926 5,143,463 15,430,390 7,715,195 23,145,586 11,572,793 34,718,380 17,359,190 8,679,595 26,038,786 13,019,393 39,058,180 19,529,090 9,764,545 29,293,636 14,646,818 7,323,409 21,970,228 10,985,114 5,492,557 16,477,672 8,238,836 4,119,418 2,059,709 6,179,128 3,089,564 1,544,782 772,391 2,317,174 1,158,587 3,475,762 1,737,881 5,213,644 2,606,822 1,303,411 3,910,234 1,955,117 5,865,352 2,932,676 1,466,338 733,169 2,199,508

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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