λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,375
36,918,375
3 × 53 × 13 × 7573
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 13 × 7573
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,166,464
Proper Divisor Sum 29,248,089
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36918361 ← → #36918377

Radix Representation

Decimal 36918375
Binary 10001100110101010001100111 (26 bits)
Octal 0o214652147
Hexadecimal 0x2335467

Divisor Catalog (32)

1 3 5 13 15 25 39 65 75 125 195 325 375 975 1,625 4,875 7,573 22,719 37,865 98,449 113,595 189,325 295,347 492,245 567,975 946,625 1,476,735 2,461,225 2,839,875 7,383,675 12,306,125 36,918,375

Collatz Trajectory (165 steps to reach 1)

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

36,918,375 110,755,126 55,377,563 166,132,690 83,066,345 249,199,036 124,599,518 62,299,759 186,899,278 93,449,639 280,348,918 140,174,459 420,523,378 210,261,689 630,785,068 315,392,534 157,696,267 473,088,802 236,544,401 709,633,204 354,816,602 177,408,301 532,224,904 266,112,452 133,056,226 66,528,113 199,584,340 99,792,170 49,896,085 149,688,256 74,844,128 37,422,064 18,711,032 9,355,516 4,677,758 2,338,879 7,016,638 3,508,319 10,524,958 5,262,479 15,787,438 7,893,719 23,681,158 11,840,579 35,521,738 17,760,869 53,282,608 26,641,304 13,320,652 6,660,326 3,330,163 9,990,490 4,995,245 14,985,736 7,492,868 3,746,434 1,873,217 5,619,652 2,809,826 1,404,913

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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