6958
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12312
- Proper Divisor Sum (Aliquot Sum)
- 5354
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2940
- Möbius Function
- 0
- Radical
- 994
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for CaF2(1), F position.at n=28A009924
- T(2n,n), T given by A026659.at n=7A026660
- T(n,[ n/2 ]), T given by A026659.at n=14A026665
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 82.at n=17A031580
- Numbers whose set of base-13 digits is {2,3}.at n=23A032813
- Numbers k such that 3^k + 2 is prime.at n=30A051783
- Least k such that gcd( p(k), q(k) ) is n, where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=46A060743
- Numbers n such that n and its reversal are both multiples of 14.at n=36A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=25A062913
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 14.at n=14A066696
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=5/4.at n=36A080198
- a(n) = n*(2*n^2 -3*n +7)/6 = C(n, 1) + C(n, 2) + 2*C(n, 3).at n=27A081489
- a(n) = 2*prime(n)^2 - 4.at n=16A153480
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=32A178980
- Demi-tribonacci numbers (rounding up): a(0)=a(1)=0, a(2)=2; a(n) = ceiling( (a(n-1)+a(n-2)+a(n-3))/2 ).at n=42A180235
- Expansion of (psi(-x) * phi(x)^4)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=15A209942
- G.f.: 1/(1 - x - x^2 - 2*x^3 - 3*x^4 - 2*x^5 - x^6).at n=12A221950
- Number of (n+1)X(n+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero.at n=2A232030
- Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero.at n=2A232033
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero.at n=12A232038