λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,524,516
8,524,516
22 × 7 × 11 × 13 × 2129
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13 × 2129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,039,040
Proper Divisor Sum 11,514,524
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8524511 ← → #8524543

Radix Representation

Decimal 8524516
Binary 100000100001001011100100 (24 bits)
Octal 0o40411344
Hexadecimal 0x8212E4

Divisor Catalog (48)

1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1,001 2,002 2,129 4,004 4,258 8,516 14,903 23,419 27,677 29,806 46,838 55,354 59,612 93,676 110,708 163,933 193,739 304,447 327,866 387,478 608,894 655,732 774,956 1,217,788 2,131,129 4,262,258 8,524,516

Collatz Trajectory (305 steps to reach 1)

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

8,524,516 4,262,258 2,131,129 6,393,388 3,196,694 1,598,347 4,795,042 2,397,521 7,192,564 3,596,282 1,798,141 5,394,424 2,697,212 1,348,606 674,303 2,022,910 1,011,455 3,034,366 1,517,183 4,551,550 2,275,775 6,827,326 3,413,663 10,240,990 5,120,495 15,361,486 7,680,743 23,042,230 11,521,115 34,563,346 17,281,673 51,845,020 25,922,510 12,961,255 38,883,766 19,441,883 58,325,650 29,162,825 87,488,476 43,744,238 21,872,119 65,616,358 32,808,179 98,424,538 49,212,269 147,636,808 73,818,404 36,909,202 18,454,601 55,363,804 27,681,902 13,840,951 41,522,854 20,761,427 62,284,282 31,142,141 93,426,424 46,713,212 23,356,606 11,678,303

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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