λ
Ratio Atlas
Atlas › Integer Profiles › Node 83,199,735
83,199,735
32 × 5 × 59 × 31337
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 59 × 31337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 146,661,840
Proper Divisor Sum 63,462,105
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #83199733 ← → #83199761

Radix Representation

Decimal 83199735
Binary 100111101011000011011110111 (27 bits)
Octal 0o475303367
Hexadecimal 0x4F586F7

Divisor Catalog (24)

1 3 5 9 15 45 59 177 295 531 885 2,655 31,337 94,011 156,685 282,033 470,055 1,410,165 1,848,883 5,546,649 9,244,415 16,639,947 27,733,245 83,199,735

Collatz Trajectory (223 steps to reach 1)

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

83,199,735 249,599,206 124,799,603 374,398,810 187,199,405 561,598,216 280,799,108 140,399,554 70,199,777 210,599,332 105,299,666 52,649,833 157,949,500 78,974,750 39,487,375 118,462,126 59,231,063 177,693,190 88,846,595 266,539,786 133,269,893 399,809,680 199,904,840 99,952,420 49,976,210 24,988,105 74,964,316 37,482,158 18,741,079 56,223,238 28,111,619 84,334,858 42,167,429 126,502,288 63,251,144 31,625,572 15,812,786 7,906,393 23,719,180 11,859,590 5,929,795 17,789,386 8,894,693 26,684,080 13,342,040 6,671,020 3,335,510 1,667,755 5,003,266 2,501,633 7,504,900 3,752,450 1,876,225 5,628,676 2,814,338 1,407,169 4,221,508 2,110,754 1,055,377 3,166,132

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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