λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,687
36,918,687
3 × 13 × 532 × 337
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 53^2 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 54,190,864
Proper Divisor Sum 17,272,177
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36918683 ← → #36918689

Radix Representation

Decimal 36918687
Binary 10001100110101010110011111 (26 bits)
Octal 0o214652637
Hexadecimal 0x233559F

Divisor Catalog (24)

1 3 13 39 53 159 337 689 1,011 2,067 2,809 4,381 8,427 13,143 17,861 36,517 53,583 109,551 232,193 696,579 946,633 2,839,899 12,306,229 36,918,687

Collatz Trajectory (188 steps to reach 1)

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

36,918,687 110,756,062 55,378,031 166,134,094 83,067,047 249,201,142 124,600,571 373,801,714 186,900,857 560,702,572 280,351,286 140,175,643 420,526,930 210,263,465 630,790,396 315,395,198 157,697,599 473,092,798 236,546,399 709,639,198 354,819,599 1,064,458,798 532,229,399 1,596,688,198 798,344,099 2,395,032,298 1,197,516,149 3,592,548,448 1,796,274,224 898,137,112 449,068,556 224,534,278 112,267,139 336,801,418 168,400,709 505,202,128 252,601,064 126,300,532 63,150,266 31,575,133 94,725,400 47,362,700 23,681,350 11,840,675 35,522,026 17,761,013 53,283,040 26,641,520 13,320,760 6,660,380 3,330,190 1,665,095 4,995,286 2,497,643 7,492,930 3,746,465 11,239,396 5,619,698 2,809,849 8,429,548

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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