λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,576,828
21,576,828
22 × 3 × 7 × 13 × 19759
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 19759
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 61,967,360
Proper Divisor Sum 40,390,532
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #21576827 ← → #21576847

Radix Representation

Decimal 21576828
Binary 1010010010011110001111100 (25 bits)
Octal 0o122236174
Hexadecimal 0x1493C7C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 19,759 39,518 59,277 79,036 118,554 138,313 237,108 256,867 276,626 414,939 513,734 553,252 770,601 829,878 1,027,468 1,541,202 1,659,756 1,798,069 3,082,404 3,596,138 5,394,207 7,192,276 10,788,414 21,576,828

Collatz Trajectory (146 steps to reach 1)

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

21,576,828 10,788,414 5,394,207 16,182,622 8,091,311 24,273,934 12,136,967 36,410,902 18,205,451 54,616,354 27,308,177 81,924,532 40,962,266 20,481,133 61,443,400 30,721,700 15,360,850 7,680,425 23,041,276 11,520,638 5,760,319 17,280,958 8,640,479 25,921,438 12,960,719 38,882,158 19,441,079 58,323,238 29,161,619 87,484,858 43,742,429 131,227,288 65,613,644 32,806,822 16,403,411 49,210,234 24,605,117 73,815,352 36,907,676 18,453,838 9,226,919 27,680,758 13,840,379 41,521,138 20,760,569 62,281,708 31,140,854 15,570,427 46,711,282 23,355,641 70,066,924 35,033,462 17,516,731 52,550,194 26,275,097 78,825,292 39,412,646 19,706,323 59,118,970 29,559,485

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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