λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,262,016
2,262,016
210 × 472
Abundant Even Composite Square (√ = 1504)

Prime Factor Structure

Factorization String 2^10 × 47^2
Distinct Prime Factors 2
Square Status Yes (√2262016 = 1504)
Abundance Measure Abundant

Analytical Properties

Total Divisors 33
Divisor Sum (σ) 4,620,079
Proper Divisor Sum 2,358,063
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2261993 ← → #2262017

Radix Representation

Decimal 2262016
Binary 1000101000010000000000 (22 bits)
Octal 0o10502000
Hexadecimal 0x228400

Divisor Catalog (33)

1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1,024 1,504 2,209 3,008 4,418 6,016 8,836 12,032 17,672 24,064 35,344 48,128 70,688 141,376 282,752 565,504 1,131,008 2,262,016

Collatz Trajectory (86 steps to reach 1)

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

2,262,016 1,131,008 565,504 282,752 141,376 70,688 35,344 17,672 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404

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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