λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,074,104
56,074,104
23 × 32 × 337 × 2311
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 337 × 2311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 152,383,920
Proper Divisor Sum 96,309,816
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #56074097 ← → #56074141

Radix Representation

Decimal 56074104
Binary 11010101111001111101111000 (26 bits)
Octal 0o325717570
Hexadecimal 0x3579F78

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 337 674 1,011 1,348 2,022 2,311 2,696 3,033 4,044 4,622 6,066 6,933 8,088 9,244 12,132 13,866 18,488 20,799 24,264 27,732 41,598 55,464 83,196 166,392 778,807 1,557,614 2,336,421 3,115,228 4,672,842 6,230,456 7,009,263 9,345,684 14,018,526 18,691,368 28,037,052 56,074,104

Collatz Trajectory (225 steps to reach 1)

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

56,074,104 28,037,052 14,018,526 7,009,263 21,027,790 10,513,895 31,541,686 15,770,843 47,312,530 23,656,265 70,968,796 35,484,398 17,742,199 53,226,598 26,613,299 79,839,898 39,919,949 119,759,848 59,879,924 29,939,962 14,969,981 44,909,944 22,454,972 11,227,486 5,613,743 16,841,230 8,420,615 25,261,846 12,630,923 37,892,770 18,946,385 56,839,156 28,419,578 14,209,789 42,629,368 21,314,684 10,657,342 5,328,671 15,986,014 7,993,007 23,979,022 11,989,511 35,968,534 17,984,267 53,952,802 26,976,401 80,929,204 40,464,602 20,232,301 60,696,904 30,348,452 15,174,226 7,587,113 22,761,340 11,380,670 5,690,335 17,071,006 8,535,503 25,606,510 12,803,255

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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