λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,680,100
56,680,100
22 × 52 × 127 × 4463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 127 × 4463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 123,992,064
Proper Divisor Sum 67,311,964
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #56680093 ← → #56680103

Radix Representation

Decimal 56680100
Binary 11011000001101111010100100 (26 bits)
Octal 0o330157244
Hexadecimal 0x360DEA4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 127 254 508 635 1,270 2,540 3,175 4,463 6,350 8,926 12,700 17,852 22,315 44,630 89,260 111,575 223,150 446,300 566,801 1,133,602 2,267,204 2,834,005 5,668,010 11,336,020 14,170,025 28,340,050 56,680,100

Collatz Trajectory (238 steps to reach 1)

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

56,680,100 28,340,050 14,170,025 42,510,076 21,255,038 10,627,519 31,882,558 15,941,279 47,823,838 23,911,919 71,735,758 35,867,879 107,603,638 53,801,819 161,405,458 80,702,729 242,108,188 121,054,094 60,527,047 181,581,142 90,790,571 272,371,714 136,185,857 408,557,572 204,278,786 102,139,393 306,418,180 153,209,090 76,604,545 229,813,636 114,906,818 57,453,409 172,360,228 86,180,114 43,090,057 129,270,172 64,635,086 32,317,543 96,952,630 48,476,315 145,428,946 72,714,473 218,143,420 109,071,710 54,535,855 163,607,566 81,803,783 245,411,350 122,705,675 368,117,026 184,058,513 552,175,540 276,087,770 138,043,885 414,131,656 207,065,828 103,532,914 51,766,457 155,299,372 77,649,686

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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