λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,757,155
56,757,155
5 × 7 × 13 × 79 × 1579
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13 × 79 × 1579
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,940,800
Proper Divisor Sum 28,183,645
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #56757137 ← → #56757157

Radix Representation

Decimal 56757155
Binary 11011000100000101110100011 (26 bits)
Octal 0o330405643
Hexadecimal 0x3620BA3

Divisor Catalog (32)

1 5 7 13 35 65 79 91 395 455 553 1,027 1,579 2,765 5,135 7,189 7,895 11,053 20,527 35,945 55,265 102,635 124,741 143,689 623,705 718,445 873,187 1,621,633 4,365,935 8,108,165 11,351,431 56,757,155

Collatz Trajectory (124 steps to reach 1)

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

56,757,155 170,271,466 85,135,733 255,407,200 127,703,600 63,851,800 31,925,900 15,962,950 7,981,475 23,944,426 11,972,213 35,916,640 17,958,320 8,979,160 4,489,580 2,244,790 1,122,395 3,367,186 1,683,593 5,050,780 2,525,390 1,262,695 3,788,086 1,894,043 5,682,130 2,841,065 8,523,196 4,261,598 2,130,799 6,392,398 3,196,199 9,588,598 4,794,299 14,382,898 7,191,449 21,574,348 10,787,174 5,393,587 16,180,762 8,090,381 24,271,144 12,135,572 6,067,786 3,033,893 9,101,680 4,550,840 2,275,420 1,137,710 568,855 1,706,566 853,283 2,559,850 1,279,925 3,839,776 1,919,888 959,944 479,972 239,986 119,993 359,980

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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