λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,170
82,170
2 × 32 × 5 × 11 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 235,872
Proper Divisor Sum 153,702
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #82163 ← → #82171

Radix Representation

Decimal 82170
Binary 10100000011111010 (17 bits)
Octal 0o240372
Hexadecimal 0x140FA

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 83 90 99 110 165 166 198 249 330 415 495 498 747 830 913 990 1,245 1,494 1,826 2,490 2,739 3,735 4,565 5,478 7,470 8,217 9,130 13,695 16,434 27,390 41,085 82,170

Collatz Trajectory (63 steps to reach 1)

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

82,170 41,085 123,256 61,628 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #82,169 Browse Full Index Next Integer #82,171 →