λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,763,155
33,763,155
3 × 5 × 47 × 83 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 47 × 83 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,931,904
Proper Divisor Sum 22,168,749
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #33763153 ← → #33763181

Radix Representation

Decimal 33763155
Binary 10000000110010111101010011 (26 bits)
Octal 0o200627523
Hexadecimal 0x2032F53

Divisor Catalog (32)

1 3 5 15 47 83 141 235 249 415 577 705 1,245 1,731 2,885 3,901 8,655 11,703 19,505 27,119 47,891 58,515 81,357 135,595 143,673 239,455 406,785 718,365 2,250,877 6,752,631 11,254,385 33,763,155

Collatz Trajectory (157 steps to reach 1)

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

33,763,155 101,289,466 50,644,733 151,934,200 75,967,100 37,983,550 18,991,775 56,975,326 28,487,663 85,462,990 42,731,495 128,194,486 64,097,243 192,291,730 96,145,865 288,437,596 144,218,798 72,109,399 216,328,198 108,164,099 324,492,298 162,246,149 486,738,448 243,369,224 121,684,612 60,842,306 30,421,153 91,263,460 45,631,730 22,815,865 68,447,596 34,223,798 17,111,899 51,335,698 25,667,849 77,003,548 38,501,774 19,250,887 57,752,662 28,876,331 86,628,994 43,314,497 129,943,492 64,971,746 32,485,873 97,457,620 48,728,810 24,364,405 73,093,216 36,546,608 18,273,304 9,136,652 4,568,326 2,284,163 6,852,490 3,426,245 10,278,736 5,139,368 2,569,684 1,284,842

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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