λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,445,876
56,445,876
22 × 33 × 211 × 2477
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 211 × 2477
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 147,094,080
Proper Divisor Sum 90,648,204
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #56445871 ← → #56445937

Radix Representation

Decimal 56445876
Binary 11010111010100101110110100 (26 bits)
Octal 0o327245664
Hexadecimal 0x35D4BB4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1,266 1,899 2,477 2,532 3,798 4,954 5,697 7,431 7,596 9,908 11,394 14,862 22,293 22,788 29,724 44,586 66,879 89,172 133,758 267,516 522,647 1,045,294 1,567,941 2,090,588 3,135,882 4,703,823 6,271,764 9,407,646 14,111,469 18,815,292 28,222,938 56,445,876

Collatz Trajectory (181 steps to reach 1)

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

56,445,876 28,222,938 14,111,469 42,334,408 21,167,204 10,583,602 5,291,801 15,875,404 7,937,702 3,968,851 11,906,554 5,953,277 17,859,832 8,929,916 4,464,958 2,232,479 6,697,438 3,348,719 10,046,158 5,023,079 15,069,238 7,534,619 22,603,858 11,301,929 33,905,788 16,952,894 8,476,447 25,429,342 12,714,671 38,144,014 19,072,007 57,216,022 28,608,011 85,824,034 42,912,017 128,736,052 64,368,026 32,184,013 96,552,040 48,276,020 24,138,010 12,069,005 36,207,016 18,103,508 9,051,754 4,525,877 13,577,632 6,788,816 3,394,408 1,697,204 848,602 424,301 1,272,904 636,452 318,226 159,113 477,340 238,670 119,335 358,006

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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