λ
Ratio Atlas
Atlas › Integer Profiles › Node 83,568
83,568
24 × 3 × 1741
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 1741
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 216,008
Proper Divisor Sum 132,440
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #83563 ← → #83579

Radix Representation

Decimal 83568
Binary 10100011001110000 (17 bits)
Octal 0o243160
Hexadecimal 0x14670

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 1,741 3,482 5,223 6,964 10,446 13,928 20,892 27,856 41,784 83,568

Collatz Trajectory (63 steps to reach 1)

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

83,568 41,784 20,892 10,446 5,223 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 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 #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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