λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,445,872
56,445,872
24 × 7 × 47 × 10723
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 10723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 127,658,496
Proper Divisor Sum 71,212,624
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #56445871 ← → #56445937

Radix Representation

Decimal 56445872
Binary 11010111010100101110110000 (26 bits)
Octal 0o327245660
Hexadecimal 0x35D4BB0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1,316 2,632 5,264 10,723 21,446 42,892 75,061 85,784 150,122 171,568 300,244 503,981 600,488 1,007,962 1,200,976 2,015,924 3,527,867 4,031,848 7,055,734 8,063,696 14,111,468 28,222,936 56,445,872

Collatz Trajectory (181 steps to reach 1)

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

56,445,872 28,222,936 14,111,468 7,055,734 3,527,867 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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