λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,912,300
36,912,300
22 × 3 × 52 × 41 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 41 × 3001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 109,440,912
Proper Divisor Sum 72,528,612
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #36912299 ← → #36912319

Radix Representation

Decimal 36912300
Binary 10001100110011110010101100 (26 bits)
Octal 0o214636254
Hexadecimal 0x2333CAC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1,025 1,230 2,050 2,460 3,001 3,075 4,100 6,002 6,150 9,003 12,004 12,300 15,005 18,006 30,010 36,012 45,015 60,020 75,025 90,030 123,041 150,050 180,060 225,075 246,082 300,100 369,123 450,150 492,164 615,205 738,246 900,300

Collatz Trajectory (103 steps to reach 1)

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

36,912,300 18,456,150 9,228,075 27,684,226 13,842,113 41,526,340 20,763,170 10,381,585 31,144,756 15,572,378 7,786,189 23,358,568 11,679,284 5,839,642 2,919,821 8,759,464 4,379,732 2,189,866 1,094,933 3,284,800 1,642,400 821,200 410,600 205,300 102,650 51,325 153,976 76,988 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084

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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