λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,047,484
4,047,484
22 × 7 × 31 × 4663
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,357,888
Proper Divisor Sum 4,310,404
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4047473 ← → #4047487

Radix Representation

Decimal 4047484
Binary 1111011100001001111100 (22 bits)
Octal 0o17341174
Hexadecimal 0x3DC27C

Divisor Catalog (24)

1 2 4 7 14 28 31 62 124 217 434 868 4,663 9,326 18,652 32,641 65,282 130,564 144,553 289,106 578,212 1,011,871 2,023,742 4,047,484

Collatz Trajectory (229 steps to reach 1)

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

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 5,544,916

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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