λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,972,750
40,972,750
2 × 53 × 7 × 13 × 1801
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 13 × 1801
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 94,453,632
Proper Divisor Sum 53,480,882
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40972733 ← → #40972769

Radix Representation

Decimal 40972750
Binary 10011100010011000111001110 (26 bits)
Octal 0o234230716
Hexadecimal 0x27131CE

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 125 130 175 182 250 325 350 455 650 875 910 1,625 1,750 1,801 2,275 3,250 3,602 4,550 9,005 11,375 12,607 18,010 22,750 23,413 25,214 45,025 46,826 63,035 90,050 117,065 126,070 163,891 225,125 234,130 315,175 327,782 450,250 585,325 630,350 819,455 1,170,650 1,575,875 1,638,910 2,926,625 3,151,750 4,097,275

Collatz Trajectory (103 steps to reach 1)

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

40,972,750 20,486,375 61,459,126 30,729,563 92,188,690 46,094,345 138,283,036 69,141,518 34,570,759 103,712,278 51,856,139 155,568,418 77,784,209 233,352,628 116,676,314 58,338,157 175,014,472 87,507,236 43,753,618 21,876,809 65,630,428 32,815,214 16,407,607 49,222,822 24,611,411 73,834,234 36,917,117 110,751,352 55,375,676 27,687,838 13,843,919 41,531,758 20,765,879 62,297,638 31,148,819 93,446,458 46,723,229 140,169,688 70,084,844 35,042,422 17,521,211 52,563,634 26,281,817 78,845,452 39,422,726 19,711,363 59,134,090 29,567,045 88,701,136 44,350,568 22,175,284 11,087,642 5,543,821 16,631,464 8,315,732 4,157,866 2,078,933 6,236,800 3,118,400 1,559,200

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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