λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,508,316
40,508,316
22 × 33 × 83 × 4519
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 83 × 4519
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,310,400
Proper Divisor Sum 65,802,084
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40508309 ← → #40508329

Radix Representation

Decimal 40508316
Binary 10011010100001101110011100 (26 bits)
Octal 0o232415634
Hexadecimal 0x26A1B9C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1,494 2,241 2,988 4,482 4,519 8,964 9,038 13,557 18,076 27,114 40,671 54,228 81,342 122,013 162,684 244,026 375,077 488,052 750,154 1,125,231 1,500,308 2,250,462 3,375,693 4,500,924 6,751,386 10,127,079 13,502,772 20,254,158 40,508,316

Collatz Trajectory (165 steps to reach 1)

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

40,508,316 20,254,158 10,127,079 30,381,238 15,190,619 45,571,858 22,785,929 68,357,788 34,178,894 17,089,447 51,268,342 25,634,171 76,902,514 38,451,257 115,353,772 57,676,886 28,838,443 86,515,330 43,257,665 129,772,996 64,886,498 32,443,249 97,329,748 48,664,874 24,332,437 72,997,312 36,498,656 18,249,328 9,124,664 4,562,332 2,281,166 1,140,583 3,421,750 1,710,875 5,132,626 2,566,313 7,698,940 3,849,470 1,924,735 5,774,206 2,887,103 8,661,310 4,330,655 12,991,966 6,495,983 19,487,950 9,743,975 29,231,926 14,615,963 43,847,890 21,923,945 65,771,836 32,885,918 16,442,959 49,328,878 24,664,439 73,993,318 36,996,659 110,989,978 55,494,989

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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