λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,968,484
40,968,484
22 × 19 × 31 × 17389
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 31 × 17389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,907,200
Proper Divisor Sum 36,938,716
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #40968469 ← → #40968493

Radix Representation

Decimal 40968484
Binary 10011100010010000100100100 (26 bits)
Octal 0o234220444
Hexadecimal 0x2712124

Divisor Catalog (24)

1 2 4 19 31 38 62 76 124 589 1,178 2,356 17,389 34,778 69,556 330,391 539,059 660,782 1,078,118 1,321,564 2,156,236 10,242,121 20,484,242 40,968,484

Collatz Trajectory (253 steps to reach 1)

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

40,968,484 20,484,242 10,242,121 30,726,364 15,363,182 7,681,591 23,044,774 11,522,387 34,567,162 17,283,581 51,850,744 25,925,372 12,962,686 6,481,343 19,444,030 9,722,015 29,166,046 14,583,023 43,749,070 21,874,535 65,623,606 32,811,803 98,435,410 49,217,705 147,653,116 73,826,558 36,913,279 110,739,838 55,369,919 166,109,758 83,054,879 249,164,638 124,582,319 373,746,958 186,873,479 560,620,438 280,310,219 840,930,658 420,465,329 1,261,395,988 630,697,994 315,348,997 946,046,992 473,023,496 236,511,748 118,255,874 59,127,937 177,383,812 88,691,906 44,345,953 133,037,860 66,518,930 33,259,465 99,778,396 49,889,198 24,944,599 74,833,798 37,416,899 112,250,698 56,125,349

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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