λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,927,564
36,927,564
22 × 3 × 19 × 149 × 1087
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 149 × 1087
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,392,000
Proper Divisor Sum 54,464,436
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36927563 ← → #36927577

Radix Representation

Decimal 36927564
Binary 10001100110111100001001100 (26 bits)
Octal 0o214674114
Hexadecimal 0x233784C

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 114 149 228 298 447 596 894 1,087 1,788 2,174 2,831 3,261 4,348 5,662 6,522 8,493 11,324 13,044 16,986 20,653 33,972 41,306 61,959 82,612 123,918 161,963 247,836 323,926 485,889 647,852 971,778 1,943,556 3,077,297 6,154,594 9,231,891 12,309,188 18,463,782 36,927,564

Collatz Trajectory (196 steps to reach 1)

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

36,927,564 18,463,782 9,231,891 27,695,674 13,847,837 41,543,512 20,771,756 10,385,878 5,192,939 15,578,818 7,789,409 23,368,228 11,684,114 5,842,057 17,526,172 8,763,086 4,381,543 13,144,630 6,572,315 19,716,946 9,858,473 29,575,420 14,787,710 7,393,855 22,181,566 11,090,783 33,272,350 16,636,175 49,908,526 24,954,263 74,862,790 37,431,395 112,294,186 56,147,093 168,441,280 84,220,640 42,110,320 21,055,160 10,527,580 5,263,790 2,631,895 7,895,686 3,947,843 11,843,530 5,921,765 17,765,296 8,882,648 4,441,324 2,220,662 1,110,331 3,330,994 1,665,497 4,996,492 2,498,246 1,249,123 3,747,370 1,873,685 5,621,056 2,810,528 1,405,264

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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