λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,979,416
36,979,416
23 × 34 × 149 × 383
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 149 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 104,544,000
Proper Divisor Sum 67,564,584
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36979399 ← → #36979429

Radix Representation

Decimal 36979416
Binary 10001101000100001011011000 (26 bits)
Octal 0o215041330
Hexadecimal 0x23442D8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 324 383 447 596 648 766 894 1,149 1,192 1,341 1,532 1,788 2,298 2,682 3,064 3,447 3,576 4,023 4,596 5,364 6,894 8,046 9,192 10,341 10,728 12,069 13,788 16,092 20,682 24,138 27,576 31,023 32,184 41,364 48,276 57,067 62,046 82,728 96,552 114,134

Collatz Trajectory (227 steps to reach 1)

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

36,979,416 18,489,708 9,244,854 4,622,427 13,867,282 6,933,641 20,800,924 10,400,462 5,200,231 15,600,694 7,800,347 23,401,042 11,700,521 35,101,564 17,550,782 8,775,391 26,326,174 13,163,087 39,489,262 19,744,631 59,233,894 29,616,947 88,850,842 44,425,421 133,276,264 66,638,132 33,319,066 16,659,533 49,978,600 24,989,300 12,494,650 6,247,325 18,741,976 9,370,988 4,685,494 2,342,747 7,028,242 3,514,121 10,542,364 5,271,182 2,635,591 7,906,774 3,953,387 11,860,162 5,930,081 17,790,244 8,895,122 4,447,561 13,342,684 6,671,342 3,335,671 10,007,014 5,003,507 15,010,522 7,505,261 22,515,784 11,257,892 5,628,946 2,814,473 8,443,420

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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