λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,933,180
36,933,180
22 × 3 × 5 × 17 × 36209
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 36209
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 109,499,040
Proper Divisor Sum 72,565,860
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36933179 ← → #36933181

Radix Representation

Decimal 36933180
Binary 10001100111000111000111100 (26 bits)
Octal 0o214707074
Hexadecimal 0x2338E3C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1,020 36,209 72,418 108,627 144,836 181,045 217,254 362,090 434,508 543,135 615,553 724,180 1,086,270 1,231,106 1,846,659 2,172,540 2,462,212 3,077,765 3,693,318 6,155,530 7,386,636 9,233,295 12,311,060 18,466,590 36,933,180

Collatz Trajectory (214 steps to reach 1)

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

36,933,180 18,466,590 9,233,295 27,699,886 13,849,943 41,549,830 20,774,915 62,324,746 31,162,373 93,487,120 46,743,560 23,371,780 11,685,890 5,842,945 17,528,836 8,764,418 4,382,209 13,146,628 6,573,314 3,286,657 9,859,972 4,929,986 2,464,993 7,394,980 3,697,490 1,848,745 5,546,236 2,773,118 1,386,559 4,159,678 2,079,839 6,239,518 3,119,759 9,359,278 4,679,639 14,038,918 7,019,459 21,058,378 10,529,189 31,587,568 15,793,784 7,896,892 3,948,446 1,974,223 5,922,670 2,961,335 8,884,006 4,442,003 13,326,010 6,663,005 19,989,016 9,994,508 4,997,254 2,498,627 7,495,882 3,747,941 11,243,824 5,621,912 2,810,956 1,405,478

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
← Previous Integer #36,933,179 Browse Full Index Next Integer #36,933,181 →