λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,733,970
36,733,970
2 × 5 × 7 × 13 × 37 × 1091
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 37 × 1091
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 83,655,936
Proper Divisor Sum 46,921,966
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #36733969 ← → #36733979

Radix Representation

Decimal 36733970
Binary 10001100001000010000010010 (26 bits)
Octal 0o214102022
Hexadecimal 0x2308412

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 26 35 37 65 70 74 91 130 182 185 259 370 455 481 518 910 962 1,091 1,295 2,182 2,405 2,590 3,367 4,810 5,455 6,734 7,637 10,910 14,183 15,274 16,835 28,366 33,670 38,185 40,367 70,915 76,370 80,734 99,281 141,830 198,562 201,835 282,569 403,670 496,405 524,771 565,138 992,810 1,049,542 1,412,845 2,623,855 2,825,690 3,673,397

Collatz Trajectory (227 steps to reach 1)

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

36,733,970 18,366,985 55,100,956 27,550,478 13,775,239 41,325,718 20,662,859 61,988,578 30,994,289 92,982,868 46,491,434 23,245,717 69,737,152 34,868,576 17,434,288 8,717,144 4,358,572 2,179,286 1,089,643 3,268,930 1,634,465 4,903,396 2,451,698 1,225,849 3,677,548 1,838,774 919,387 2,758,162 1,379,081 4,137,244 2,068,622 1,034,311 3,102,934 1,551,467 4,654,402 2,327,201 6,981,604 3,490,802 1,745,401 5,236,204 2,618,102 1,309,051 3,927,154 1,963,577 5,890,732 2,945,366 1,472,683 4,418,050 2,209,025 6,627,076 3,313,538 1,656,769 4,970,308 2,485,154 1,242,577 3,727,732 1,863,866 931,933 2,795,800 1,397,900

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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