λ
Harmonic Matrix

7,326,166

2 × 3663083
Deficient Even Composite

7,326,166 has digital root 4. The neighboring primes are 7326157 and 7326173; its proper-divisor sum differs from the starting integer by -3,663,080.

Prime Factor Structure

Factorization String 2 × 3663083
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,989,252
Proper Divisor Sum 3,663,086
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7326157 ← → #7326173

Radix Representation

Decimal 7326166
Binary 11011111100100111010110 (23 bits)
Octal 0o33744726
Hexadecimal 0x6FC9D6

Divisor Catalog (4)

1 2 3,663,083 7,326,166

Collatz Trajectory (111 steps to reach 1)

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

7,326,166 3,663,083 10,989,250 5,494,625 16,483,876 8,241,938 4,120,969 12,362,908 6,181,454 3,090,727 9,272,182 4,636,091 13,908,274 6,954,137 20,862,412 10,431,206 5,215,603 15,646,810 7,823,405 23,470,216 11,735,108 5,867,554 2,933,777 8,801,332 4,400,666 2,200,333 6,601,000 3,300,500 1,650,250 825,125 2,475,376 1,237,688 618,844 309,422 154,711 464,134 232,067 696,202 348,101 1,044,304 522,152 261,076 130,538 65,269 195,808 97,904 48,952 24,476 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474

More profiles

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