λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,239,017
40,239,017
7 × 13 × 17 × 19 × 372
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 13 × 17 × 19 × 37^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,730,240
Proper Divisor Sum 16,491,223
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40239011 ← → #40239041

Radix Representation

Decimal 40239017
Binary 10011001011111111110101001 (26 bits)
Octal 0o231377651
Hexadecimal 0x265FFA9

Divisor Catalog (48)

1 7 13 17 19 37 91 119 133 221 247 259 323 481 629 703 1,369 1,547 1,729 2,261 3,367 4,199 4,403 4,921 8,177 9,139 9,583 11,951 17,797 23,273 26,011 29,393 57,239 63,973 83,657 124,579 155,363 162,911 182,077 302,549 338,143 442,187 1,087,541 2,117,843 2,367,001 3,095,309 5,748,431 40,239,017

Collatz Trajectory (240 steps to reach 1)

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

40,239,017 120,717,052 60,358,526 30,179,263 90,537,790 45,268,895 135,806,686 67,903,343 203,710,030 101,855,015 305,565,046 152,782,523 458,347,570 229,173,785 687,521,356 343,760,678 171,880,339 515,641,018 257,820,509 773,461,528 386,730,764 193,365,382 96,682,691 290,048,074 145,024,037 435,072,112 217,536,056 108,768,028 54,384,014 27,192,007 81,576,022 40,788,011 122,364,034 61,182,017 183,546,052 91,773,026 45,886,513 137,659,540 68,829,770 34,414,885 103,244,656 51,622,328 25,811,164 12,905,582 6,452,791 19,358,374 9,679,187 29,037,562 14,518,781 43,556,344 21,778,172 10,889,086 5,444,543 16,333,630 8,166,815 24,500,446 12,250,223 36,750,670 18,375,335 55,126,006

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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