λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,930,205
36,930,205
5 × 13 × 17 × 19 × 1759
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 17 × 19 × 1759
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,222,400
Proper Divisor Sum 16,292,195
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #36930191 ← → #36930233

Radix Representation

Decimal 36930205
Binary 10001100111000001010011101 (26 bits)
Octal 0o214701235
Hexadecimal 0x233829D

Divisor Catalog (32)

1 5 13 17 19 65 85 95 221 247 323 1,105 1,235 1,615 1,759 4,199 8,795 20,995 22,867 29,903 33,421 114,335 149,515 167,105 388,739 434,473 568,157 1,943,695 2,172,365 2,840,785 7,386,041 36,930,205

Collatz Trajectory (165 steps to reach 1)

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

36,930,205 110,790,616 55,395,308 27,697,654 13,848,827 41,546,482 20,773,241 62,319,724 31,159,862 15,579,931 46,739,794 23,369,897 70,109,692 35,054,846 17,527,423 52,582,270 26,291,135 78,873,406 39,436,703 118,310,110 59,155,055 177,465,166 88,732,583 266,197,750 133,098,875 399,296,626 199,648,313 598,944,940 299,472,470 149,736,235 449,208,706 224,604,353 673,813,060 336,906,530 168,453,265 505,359,796 252,679,898 126,339,949 379,019,848 189,509,924 94,754,962 47,377,481 142,132,444 71,066,222 35,533,111 106,599,334 53,299,667 159,899,002 79,949,501 239,848,504 119,924,252 59,962,126 29,981,063 89,943,190 44,971,595 134,914,786 67,457,393 202,372,180 101,186,090 50,593,045

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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