λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,008,116
2,008,116
22 × 32 × 112 × 461
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11^2 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 5,591,586
Proper Divisor Sum 3,583,470
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2008103 ← → #2008121

Radix Representation

Decimal 2008116
Binary 111101010010000110100 (21 bits)
Octal 0o7522064
Hexadecimal 0x1EA434

Divisor Catalog (54)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 461 484 726 922 1,089 1,383 1,452 1,844 2,178 2,766 4,149 4,356 5,071 5,532 8,298 10,142 15,213 16,596 20,284 30,426 45,639 55,781 60,852 91,278 111,562 167,343 182,556 223,124 334,686 502,029 669,372 1,004,058 2,008,116

Collatz Trajectory (60 steps to reach 1)

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

2,008,116 1,004,058 502,029 1,506,088 753,044 376,522 188,261 564,784 282,392 141,196 70,598 35,299 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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