λ
Harmonic Matrix

6,826,867

6826867
Deficient Odd Prime

6,826,867 has digital root 7. The neighboring primes are 6826849 and 6826873; its proper-divisor sum differs from the starting integer by -6,826,866.

Prime Factor Structure

Factorization String 6826867
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,826,868
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6826849 ← → #6826873

Radix Representation

Decimal 6826867
Binary 11010000010101101110011 (23 bits)
Octal 0o32025563
Hexadecimal 0x682B73

Divisor Catalog (2)

1 6,826,867

Collatz Trajectory (77 steps to reach 1)

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

6,826,867 20,480,602 10,240,301 30,720,904 15,360,452 7,680,226 3,840,113 11,520,340 5,760,170 2,880,085 8,640,256 4,320,128 2,160,064 1,080,032 540,016 270,008 135,004 67,502 33,751 101,254 50,627 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204

More profiles

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