λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,250
36,968,250
2 × 3 × 53 × 11 × 4481
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 11 × 4481
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 100,683,648
Proper Divisor Sum 63,715,398
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36968249 ← → #36968297

Radix Representation

Decimal 36968250
Binary 10001101000001011100111010 (26 bits)
Octal 0o215013472
Hexadecimal 0x234173A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 330 375 550 750 825 1,375 1,650 2,750 4,125 4,481 8,250 8,962 13,443 22,405 26,886 44,810 49,291 67,215 98,582 112,025 134,430 147,873 224,050 246,455 295,746 336,075 492,910 560,125 672,150 739,365 1,120,250 1,232,275 1,478,730 1,680,375 2,464,550 3,360,750 3,696,825 6,161,375

Collatz Trajectory (227 steps to reach 1)

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

36,968,250 18,484,125 55,452,376 27,726,188 13,863,094 6,931,547 20,794,642 10,397,321 31,191,964 15,595,982 7,797,991 23,393,974 11,696,987 35,090,962 17,545,481 52,636,444 26,318,222 13,159,111 39,477,334 19,738,667 59,216,002 29,608,001 88,824,004 44,412,002 22,206,001 66,618,004 33,309,002 16,654,501 49,963,504 24,981,752 12,490,876 6,245,438 3,122,719 9,368,158 4,684,079 14,052,238 7,026,119 21,078,358 10,539,179 31,617,538 15,808,769 47,426,308 23,713,154 11,856,577 35,569,732 17,784,866 8,892,433 26,677,300 13,338,650 6,669,325 20,007,976 10,003,988 5,001,994 2,500,997 7,502,992 3,751,496 1,875,748 937,874 468,937 1,406,812

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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