λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,042,016
2,042,016
25 × 3 × 89 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 89 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,443,200
Proper Divisor Sum 3,401,184
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2041997 ← → #2042017

Radix Representation

Decimal 2042016
Binary 111110010100010100000 (21 bits)
Octal 0o7624240
Hexadecimal 0x1F28A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 89 96 178 239 267 356 478 534 712 717 956 1,068 1,424 1,434 1,912 2,136 2,848 2,868 3,824 4,272 5,736 7,648 8,544 11,472 21,271 22,944 42,542 63,813 85,084 127,626 170,168 255,252 340,336 510,504 680,672 1,021,008 2,042,016

Collatz Trajectory (60 steps to reach 1)

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

2,042,016 1,021,008 510,504 255,252 127,626 63,813 191,440 95,720 47,860 23,930 11,965 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 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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