11455
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 2945
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8736
- Möbius Function
- -1
- Radical
- 11455
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 143
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Poincaré series [or Poincare series] P(C#_{4,2}; x).at n=13A124631
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 0110-1111 pattern in any orientation.at n=13A146387
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1100-0111-0100 pattern in any orientation.at n=14A147160
- a(n) = n-th odd nonprime * n-th odd number.at n=39A163506
- a(n) = 11*a(n-1) - 9*a(n-2), a(0)=0, a(1)=1.at n=5A190872
- a(n) = n*(14*n - 11).at n=29A195021
- a(n) = (n-2)*(14*n-39) for n > 2, otherwise a(n) = n.at n=31A195030
- Smallest k such that k*2*p(n)^2-1=q is prime, k*2*q^2-1=r, k*2*r^2-1=s, k*2*r^2-1=t, r, s, and t are also prime.at n=26A224492
- Coordination sequence for (2,4,6) tiling of hyperbolic plane.at n=26A265061
- Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=35A278352
- Numbers k such that A264097(k) = A264098(k), so : A264097(k)*2^k-1 and A264098(k)*2^k+1 are twin primes.at n=20A282428
- Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=10A301325
- Largest number of maximum matchings in a tree of n vertices.at n=29A333347