λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,770,212
57,770,212
22 × 53 × 379 × 719
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 53 × 379 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,420,800
Proper Divisor Sum 45,650,588
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #57770197 ← → #57770213

Radix Representation

Decimal 57770212
Binary 11011100011000000011100100 (26 bits)
Octal 0o334300344
Hexadecimal 0x37180E4

Divisor Catalog (24)

1 2 4 53 106 212 379 719 758 1,438 1,516 2,876 20,087 38,107 40,174 76,214 80,348 152,428 272,501 545,002 1,090,004 14,442,553 28,885,106 57,770,212

Collatz Trajectory (238 steps to reach 1)

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

57,770,212 28,885,106 14,442,553 43,327,660 21,663,830 10,831,915 32,495,746 16,247,873 48,743,620 24,371,810 12,185,905 36,557,716 18,278,858 9,139,429 27,418,288 13,709,144 6,854,572 3,427,286 1,713,643 5,140,930 2,570,465 7,711,396 3,855,698 1,927,849 5,783,548 2,891,774 1,445,887 4,337,662 2,168,831 6,506,494 3,253,247 9,759,742 4,879,871 14,639,614 7,319,807 21,959,422 10,979,711 32,939,134 16,469,567 49,408,702 24,704,351 74,113,054 37,056,527 111,169,582 55,584,791 166,754,374 83,377,187 250,131,562 125,065,781 375,197,344 187,598,672 93,799,336 46,899,668 23,449,834 11,724,917 35,174,752 17,587,376 8,793,688 4,396,844 2,198,422

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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