λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,809,948
7,809,948
22 × 32 × 59 × 3677
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 59 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,081,880
Proper Divisor Sum 12,271,932
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7809947 ← → #7809979

Radix Representation

Decimal 7809948
Binary 11101110010101110011100 (23 bits)
Octal 0o35625634
Hexadecimal 0x772B9C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1,062 2,124 3,677 7,354 11,031 14,708 22,062 33,093 44,124 66,186 132,372 216,943 433,886 650,829 867,772 1,301,658 1,952,487 2,603,316 3,904,974 7,809,948

Collatz Trajectory (129 steps to reach 1)

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

7,809,948 3,904,974 1,952,487 5,857,462 2,928,731 8,786,194 4,393,097 13,179,292 6,589,646 3,294,823 9,884,470 4,942,235 14,826,706 7,413,353 22,240,060 11,120,030 5,560,015 16,680,046 8,340,023 25,020,070 12,510,035 37,530,106 18,765,053 56,295,160 28,147,580 14,073,790 7,036,895 21,110,686 10,555,343 31,666,030 15,833,015 47,499,046 23,749,523 71,248,570 35,624,285 106,872,856 53,436,428 26,718,214 13,359,107 40,077,322 20,038,661 60,115,984 30,057,992 15,028,996 7,514,498 3,757,249 11,271,748 5,635,874 2,817,937 8,453,812 4,226,906 2,113,453 6,340,360 3,170,180 1,585,090 792,545 2,377,636 1,188,818 594,409 1,783,228

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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