λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,775,375
36,775,375
53 × 7 × 13 × 53 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 7 × 13 × 53 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 58,496,256
Proper Divisor Sum 21,720,881
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36775337 ← → #36775397

Radix Representation

Decimal 36775375
Binary 10001100010010010111001111 (26 bits)
Octal 0o214222717
Hexadecimal 0x23125CF

Divisor Catalog (60 of 64)

1 5 7 13 25 35 53 61 65 91 125 175 265 305 325 371 427 455 689 793 875 1,325 1,525 1,625 1,855 2,135 2,275 3,233 3,445 3,965 4,823 5,551 6,625 7,625 9,275 10,675 11,375 16,165 17,225 19,825 22,631 24,115 27,755 42,029 46,375 53,375 80,825 86,125 99,125 113,155 120,575 138,775 210,145 294,203 404,125 565,775 602,875 693,875 1,050,725 1,471,015

Collatz Trajectory (165 steps to reach 1)

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

36,775,375 110,326,126 55,163,063 165,489,190 82,744,595 248,233,786 124,116,893 372,350,680 186,175,340 93,087,670 46,543,835 139,631,506 69,815,753 209,447,260 104,723,630 52,361,815 157,085,446 78,542,723 235,628,170 117,814,085 353,442,256 176,721,128 88,360,564 44,180,282 22,090,141 66,270,424 33,135,212 16,567,606 8,283,803 24,851,410 12,425,705 37,277,116 18,638,558 9,319,279 27,957,838 13,978,919 41,936,758 20,968,379 62,905,138 31,452,569 94,357,708 47,178,854 23,589,427 70,768,282 35,384,141 106,152,424 53,076,212 26,538,106 13,269,053 39,807,160 19,903,580 9,951,790 4,975,895 14,927,686 7,463,843 22,391,530 11,195,765 33,587,296 16,793,648 8,396,824

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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