λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,727,725
57,727,725
3 × 52 × 11 × 167 × 419
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 167 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 104,993,280
Proper Divisor Sum 47,265,555
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57727717 ← → #57727727

Radix Representation

Decimal 57727725
Binary 11011100001101101011101101 (26 bits)
Octal 0o334155355
Hexadecimal 0x370DAED

Divisor Catalog (48)

1 3 5 11 15 25 33 55 75 165 167 275 419 501 825 835 1,257 1,837 2,095 2,505 4,175 4,609 5,511 6,285 9,185 10,475 12,525 13,827 23,045 27,555 31,425 45,925 69,135 69,973 115,225 137,775 209,919 345,675 349,865 769,703 1,049,595 1,749,325 2,309,109 3,848,515 5,247,975 11,545,545 19,242,575 57,727,725

Collatz Trajectory (300 steps to reach 1)

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

57,727,725 173,183,176 86,591,588 43,295,794 21,647,897 64,943,692 32,471,846 16,235,923 48,707,770 24,353,885 73,061,656 36,530,828 18,265,414 9,132,707 27,398,122 13,699,061 41,097,184 20,548,592 10,274,296 5,137,148 2,568,574 1,284,287 3,852,862 1,926,431 5,779,294 2,889,647 8,668,942 4,334,471 13,003,414 6,501,707 19,505,122 9,752,561 29,257,684 14,628,842 7,314,421 21,943,264 10,971,632 5,485,816 2,742,908 1,371,454 685,727 2,057,182 1,028,591 3,085,774 1,542,887 4,628,662 2,314,331 6,942,994 3,471,497 10,414,492 5,207,246 2,603,623 7,810,870 3,905,435 11,716,306 5,858,153 17,574,460 8,787,230 4,393,615 13,180,846

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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