λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,427
36,918,427
7 × 13 × 23 × 31 × 569
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 13 × 23 × 31 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,029,120
Proper Divisor Sum 12,110,693
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36918419 ← → #36918433

Radix Representation

Decimal 36918427
Binary 10001100110101010010011011 (26 bits)
Octal 0o214652233
Hexadecimal 0x233549B

Divisor Catalog (32)

1 7 13 23 31 91 161 217 299 403 569 713 2,093 2,821 3,983 4,991 7,397 9,269 13,087 17,639 51,779 64,883 91,609 123,473 170,131 229,307 405,697 1,190,917 1,605,149 2,839,879 5,274,061 36,918,427

Collatz Trajectory (183 steps to reach 1)

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

36,918,427 110,755,282 55,377,641 166,132,924 83,066,462 41,533,231 124,599,694 62,299,847 186,899,542 93,449,771 280,349,314 140,174,657 420,523,972 210,261,986 105,130,993 315,392,980 157,696,490 78,848,245 236,544,736 118,272,368 59,136,184 29,568,092 14,784,046 7,392,023 22,176,070 11,088,035 33,264,106 16,632,053 49,896,160 24,948,080 12,474,040 6,237,020 3,118,510 1,559,255 4,677,766 2,338,883 7,016,650 3,508,325 10,524,976 5,262,488 2,631,244 1,315,622 657,811 1,973,434 986,717 2,960,152 1,480,076 740,038 370,019 1,110,058 555,029 1,665,088 832,544 416,272 208,136 104,068 52,034 26,017 78,052 39,026

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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