λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,789,250
57,789,250
2 × 53 × 139 × 1663
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^3 × 139 × 1663
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 109,025,280
Proper Divisor Sum 51,236,030
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57789233 ← → #57789287

Radix Representation

Decimal 57789250
Binary 11011100011100101101000010 (26 bits)
Octal 0o334345502
Hexadecimal 0x371CB42

Divisor Catalog (32)

1 2 5 10 25 50 125 139 250 278 695 1,390 1,663 3,326 3,475 6,950 8,315 16,630 17,375 34,750 41,575 83,150 207,875 231,157 415,750 462,314 1,155,785 2,311,570 5,778,925 11,557,850 28,894,625 57,789,250

Collatz Trajectory (269 steps to reach 1)

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

57,789,250 28,894,625 86,683,876 43,341,938 21,670,969 65,012,908 32,506,454 16,253,227 48,759,682 24,379,841 73,139,524 36,569,762 18,284,881 54,854,644 27,427,322 13,713,661 41,140,984 20,570,492 10,285,246 5,142,623 15,427,870 7,713,935 23,141,806 11,570,903 34,712,710 17,356,355 52,069,066 26,034,533 78,103,600 39,051,800 19,525,900 9,762,950 4,881,475 14,644,426 7,322,213 21,966,640 10,983,320 5,491,660 2,745,830 1,372,915 4,118,746 2,059,373 6,178,120 3,089,060 1,544,530 772,265 2,316,796 1,158,398 579,199 1,737,598 868,799 2,606,398 1,303,199 3,909,598 1,954,799 5,864,398 2,932,199 8,796,598 4,398,299 13,194,898

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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