λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,094,968
8,094,968
23 × 7 × 31 × 4663
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 4663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,909,760
Proper Divisor Sum 9,814,792
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8094967 ← → #8094997

Radix Representation

Decimal 8094968
Binary 11110111000010011111000 (23 bits)
Octal 0o36702370
Hexadecimal 0x7B84F8

Divisor Catalog (32)

1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1,736 4,663 9,326 18,652 32,641 37,304 65,282 130,564 144,553 261,128 289,106 578,212 1,011,871 1,156,424 2,023,742 4,047,484 8,094,968

Collatz Trajectory (230 steps to reach 1)

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

8,094,968 4,047,484 2,023,742 1,011,871 3,035,614 1,517,807 4,553,422 2,276,711 6,830,134 3,415,067 10,245,202 5,122,601 15,367,804 7,683,902 3,841,951 11,525,854 5,762,927 17,288,782 8,644,391 25,933,174 12,966,587 38,899,762 19,449,881 58,349,644 29,174,822 14,587,411 43,762,234 21,881,117 65,643,352 32,821,676 16,410,838 8,205,419 24,616,258 12,308,129 36,924,388 18,462,194 9,231,097 27,693,292 13,846,646 6,923,323 20,769,970 10,384,985 31,154,956 15,577,478 7,788,739 23,366,218 11,683,109 35,049,328 17,524,664 8,762,332 4,381,166 2,190,583 6,571,750 3,285,875 9,857,626 4,928,813 14,786,440 7,393,220 3,696,610 1,848,305

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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