λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,272,080
2,272,080
24 × 3 × 5 × 9467
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 9467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,044,192
Proper Divisor Sum 4,772,112
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2272079 ← → #2272087

Radix Representation

Decimal 2272080
Binary 1000101010101101010000 (22 bits)
Octal 0o10525520
Hexadecimal 0x22AB50

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9,467 18,934 28,401 37,868 47,335 56,802 75,736 94,670 113,604 142,005 151,472 189,340 227,208 284,010 378,680 454,416 568,020 757,360 1,136,040 2,272,080

Collatz Trajectory (104 steps to reach 1)

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

2,272,080 1,136,040 568,020 284,010 142,005 426,016 213,008 106,504 53,252 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

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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