λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,722,340
36,722,340
22 × 32 × 5 × 204013
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 204013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 111,391,644
Proper Divisor Sum 74,669,304
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36722339 ← → #36722341

Radix Representation

Decimal 36722340
Binary 10001100000101011010100100 (26 bits)
Octal 0o214053244
Hexadecimal 0x23056A4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 204,013 408,026 612,039 816,052 1,020,065 1,224,078 1,836,117 2,040,130 2,448,156 3,060,195 3,672,234 4,080,260 6,120,390 7,344,468 9,180,585 12,240,780 18,361,170 36,722,340

Collatz Trajectory (134 steps to reach 1)

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

36,722,340 18,361,170 9,180,585 27,541,756 13,770,878 6,885,439 20,656,318 10,328,159 30,984,478 15,492,239 46,476,718 23,238,359 69,715,078 34,857,539 104,572,618 52,286,309 156,858,928 78,429,464 39,214,732 19,607,366 9,803,683 29,411,050 14,705,525 44,116,576 22,058,288 11,029,144 5,514,572 2,757,286 1,378,643 4,135,930 2,067,965 6,203,896 3,101,948 1,550,974 775,487 2,326,462 1,163,231 3,489,694 1,744,847 5,234,542 2,617,271 7,851,814 3,925,907 11,777,722 5,888,861 17,666,584 8,833,292 4,416,646 2,208,323 6,624,970 3,312,485 9,937,456 4,968,728 2,484,364 1,242,182 621,091 1,863,274 931,637 2,794,912 1,397,456

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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