λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,920,164
7,920,164
22 × 72 × 17 × 2377
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 2377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,078,796
Proper Divisor Sum 9,158,632
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7920163 ← → #7920173

Radix Representation

Decimal 7920164
Binary 11110001101101000100100 (23 bits)
Octal 0o36155044
Hexadecimal 0x78DA24

Divisor Catalog (36)

1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1,666 2,377 3,332 4,754 9,508 16,639 33,278 40,409 66,556 80,818 116,473 161,636 232,946 282,863 465,892 565,726 1,131,452 1,980,041 3,960,082 7,920,164

Collatz Trajectory (199 steps to reach 1)

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

7,920,164 3,960,082 1,980,041 5,940,124 2,970,062 1,485,031 4,455,094 2,227,547 6,682,642 3,341,321 10,023,964 5,011,982 2,505,991 7,517,974 3,758,987 11,276,962 5,638,481 16,915,444 8,457,722 4,228,861 12,686,584 6,343,292 3,171,646 1,585,823 4,757,470 2,378,735 7,136,206 3,568,103 10,704,310 5,352,155 16,056,466 8,028,233 24,084,700 12,042,350 6,021,175 18,063,526 9,031,763 27,095,290 13,547,645 40,642,936 20,321,468 10,160,734 5,080,367 15,241,102 7,620,551 22,861,654 11,430,827 34,292,482 17,146,241 51,438,724 25,719,362 12,859,681 38,579,044 19,289,522 9,644,761 28,934,284 14,467,142 7,233,571 21,700,714 10,850,357

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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