λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,701,805
57,701,805
3 × 5 × 7 × 101 × 5441
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 101 × 5441
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,576,128
Proper Divisor Sum 48,874,323
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57701773 ← → #57701821

Radix Representation

Decimal 57701805
Binary 11011100000111010110101101 (26 bits)
Octal 0o334072655
Hexadecimal 0x37075AD

Divisor Catalog (32)

1 3 5 7 15 21 35 101 105 303 505 707 1,515 2,121 3,535 5,441 10,605 16,323 27,205 38,087 81,615 114,261 190,435 549,541 571,305 1,648,623 2,747,705 3,846,787 8,243,115 11,540,361 19,233,935 57,701,805

Collatz Trajectory (181 steps to reach 1)

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

57,701,805 173,105,416 86,552,708 43,276,354 21,638,177 64,914,532 32,457,266 16,228,633 48,685,900 24,342,950 12,171,475 36,514,426 18,257,213 54,771,640 27,385,820 13,692,910 6,846,455 20,539,366 10,269,683 30,809,050 15,404,525 46,213,576 23,106,788 11,553,394 5,776,697 17,330,092 8,665,046 4,332,523 12,997,570 6,498,785 19,496,356 9,748,178 4,874,089 14,622,268 7,311,134 3,655,567 10,966,702 5,483,351 16,450,054 8,225,027 24,675,082 12,337,541 37,012,624 18,506,312 9,253,156 4,626,578 2,313,289 6,939,868 3,469,934 1,734,967 5,204,902 2,602,451 7,807,354 3,903,677 11,711,032 5,855,516 2,927,758 1,463,879 4,391,638 2,195,819

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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