λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,975,939
36,975,939
3 × 72 × 11 × 13 × 1759
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 13 × 1759
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,415,040
Proper Divisor Sum 30,439,101
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #36975937 ← → #36975941

Radix Representation

Decimal 36975939
Binary 10001101000011010101000011 (26 bits)
Octal 0o215032503
Hexadecimal 0x2343543

Divisor Catalog (48)

1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1,001 1,617 1,759 1,911 3,003 5,277 7,007 12,313 19,349 21,021 22,867 36,939 58,047 68,601 86,191 135,443 160,069 251,537 258,573 406,329 480,207 754,611 948,101 1,120,483 1,760,759 2,844,303 3,361,449 5,282,277 12,325,313 36,975,939

Collatz Trajectory (134 steps to reach 1)

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

36,975,939 110,927,818 55,463,909 166,391,728 83,195,864 41,597,932 20,798,966 10,399,483 31,198,450 15,599,225 46,797,676 23,398,838 11,699,419 35,098,258 17,549,129 52,647,388 26,323,694 13,161,847 39,485,542 19,742,771 59,228,314 29,614,157 88,842,472 44,421,236 22,210,618 11,105,309 33,315,928 16,657,964 8,328,982 4,164,491 12,493,474 6,246,737 18,740,212 9,370,106 4,685,053 14,055,160 7,027,580 3,513,790 1,756,895 5,270,686 2,635,343 7,906,030 3,953,015 11,859,046 5,929,523 17,788,570 8,894,285 26,682,856 13,341,428 6,670,714 3,335,357 10,006,072 5,003,036 2,501,518 1,250,759 3,752,278 1,876,139 5,628,418 2,814,209 8,442,628

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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