λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,809,080
7,809,080
23 × 5 × 197 × 991
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 197 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,677,440
Proper Divisor Sum 9,868,360
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7809079 ← → #7809083

Radix Representation

Decimal 7809080
Binary 11101110010100000111000 (23 bits)
Octal 0o35624070
Hexadecimal 0x772838

Divisor Catalog (32)

1 2 4 5 8 10 20 40 197 394 788 985 991 1,576 1,970 1,982 3,940 3,964 4,955 7,880 7,928 9,910 19,820 39,640 195,227 390,454 780,908 976,135 1,561,816 1,952,270 3,904,540 7,809,080

Collatz Trajectory (129 steps to reach 1)

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

7,809,080 3,904,540 1,952,270 976,135 2,928,406 1,464,203 4,392,610 2,196,305 6,588,916 3,294,458 1,647,229 4,941,688 2,470,844 1,235,422 617,711 1,853,134 926,567 2,779,702 1,389,851 4,169,554 2,084,777 6,254,332 3,127,166 1,563,583 4,690,750 2,345,375 7,036,126 3,518,063 10,554,190 5,277,095 15,831,286 7,915,643 23,746,930 11,873,465 35,620,396 17,810,198 8,905,099 26,715,298 13,357,649 40,072,948 20,036,474 10,018,237 30,054,712 15,027,356 7,513,678 3,756,839 11,270,518 5,635,259 16,905,778 8,452,889 25,358,668 12,679,334 6,339,667 19,019,002 9,509,501 28,528,504 14,264,252 7,132,126 3,566,063 10,698,190

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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