λ
Harmonic Matrix

8,426,011

11 × 337 × 2273
Deficient Odd Composite

8,426,011 has digital root 4. The neighboring primes are 8426009 and 8426021; its proper-divisor sum differs from the starting integer by -7,628,678.

Prime Factor Structure

Factorization String 11 × 337 × 2273
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,223,344
Proper Divisor Sum 797,333
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8426009 ← → #8426021

Radix Representation

Decimal 8426011
Binary 100000001001001000011011 (24 bits)
Octal 0o40111033
Hexadecimal 0x80921B

Divisor Catalog (8)

1 11 337 2,273 3,707 25,003 766,001 8,426,011

Collatz Trajectory (199 steps to reach 1)

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

8,426,011 25,278,034 12,639,017 37,917,052 18,958,526 9,479,263 28,437,790 14,218,895 42,656,686 21,328,343 63,985,030 31,992,515 95,977,546 47,988,773 143,966,320 71,983,160 35,991,580 17,995,790 8,997,895 26,993,686 13,496,843 40,490,530 20,245,265 60,735,796 30,367,898 15,183,949 45,551,848 22,775,924 11,387,962 5,693,981 17,081,944 8,540,972 4,270,486 2,135,243 6,405,730 3,202,865 9,608,596 4,804,298 2,402,149 7,206,448 3,603,224 1,801,612 900,806 450,403 1,351,210 675,605 2,026,816 1,013,408 506,704 253,352 126,676 63,338 31,669 95,008 47,504 23,752 11,876 5,938 2,969 8,908

More profiles

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