λ
Harmonic Matrix

8,079,426

2 × 34 × 53 × 941
Abundant Even Composite

8,079,426 has digital root 9. The neighboring primes are 8079413 and 8079433; its proper-divisor sum differs from the starting integer by 2,306,232.

Prime Factor Structure

Factorization String 2 × 3^4 × 53 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,465,084
Proper Divisor Sum 10,385,658
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8079413 ← → #8079433

Radix Representation

Decimal 8079426
Binary 11110110100100001000010 (23 bits)
Octal 0o36644102
Hexadecimal 0x7B4842

Divisor Catalog (40)

1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 941 954 1,431 1,882 2,823 2,862 4,293 5,646 8,469 8,586 16,938 25,407 49,873 50,814 76,221 99,746 149,619 152,442 299,238 448,857 897,714 1,346,571 2,693,142 4,039,713 8,079,426

Collatz Trajectory (230 steps to reach 1)

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

8,079,426 4,039,713 12,119,140 6,059,570 3,029,785 9,089,356 4,544,678 2,272,339 6,817,018 3,408,509 10,225,528 5,112,764 2,556,382 1,278,191 3,834,574 1,917,287 5,751,862 2,875,931 8,627,794 4,313,897 12,941,692 6,470,846 3,235,423 9,706,270 4,853,135 14,559,406 7,279,703 21,839,110 10,919,555 32,758,666 16,379,333 49,138,000 24,569,000 12,284,500 6,142,250 3,071,125 9,213,376 4,606,688 2,303,344 1,151,672 575,836 287,918 143,959 431,878 215,939 647,818 323,909 971,728 485,864 242,932 121,466 60,733 182,200 91,100 45,550 22,775 68,326 34,163 102,490 51,245

More profiles

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