λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,964,674
36,964,674
2 × 310 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^10 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 83,435,766
Proper Divisor Sum 46,471,092
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36964667 ← → #36964693

Radix Representation

Decimal 36964674
Binary 10001101000000100101000010 (26 bits)
Octal 0o215004502
Hexadecimal 0x2340942

Divisor Catalog (44)

1 2 3 6 9 18 27 54 81 162 243 313 486 626 729 939 1,458 1,878 2,187 2,817 4,374 5,634 6,561 8,451 13,122 16,902 19,683 25,353 39,366 50,706 59,049 76,059 118,098 152,118 228,177 456,354 684,531 1,369,062 2,053,593 4,107,186 6,160,779 12,321,558 18,482,337 36,964,674

Collatz Trajectory (188 steps to reach 1)

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

36,964,674 18,482,337 55,447,012 27,723,506 13,861,753 41,585,260 20,792,630 10,396,315 31,188,946 15,594,473 46,783,420 23,391,710 11,695,855 35,087,566 17,543,783 52,631,350 26,315,675 78,947,026 39,473,513 118,420,540 59,210,270 29,605,135 88,815,406 44,407,703 133,223,110 66,611,555 199,834,666 99,917,333 299,752,000 149,876,000 74,938,000 37,469,000 18,734,500 9,367,250 4,683,625 14,050,876 7,025,438 3,512,719 10,538,158 5,269,079 15,807,238 7,903,619 23,710,858 11,855,429 35,566,288 17,783,144 8,891,572 4,445,786 2,222,893 6,668,680 3,334,340 1,667,170 833,585 2,500,756 1,250,378 625,189 1,875,568 937,784 468,892 234,446

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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