λ
Ratio Atlas
Atlas › Integer Profiles › Node 109,764
109,764
22 × 32 × 3049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 3049
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 277,550
Proper Divisor Sum 167,786
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #109751 ← → #109789

Radix Representation

Decimal 109764
Binary 11010110011000100 (17 bits)
Octal 0o326304
Hexadecimal 0x1ACC4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 3,049 6,098 9,147 12,196 18,294 27,441 36,588 54,882 109,764

Collatz Trajectory (66 steps to reach 1)

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

109,764 54,882 27,441 82,324 41,162 20,581 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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
← Previous Integer #109,763 Browse Full Index Next Integer #109,765 →