11928
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 22632
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 2982
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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
- Configurations of linear chains in a cubic lattice.at n=6A049230
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=32A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=33A077274
- Expansion of (1-x)^(-1)/(1-x+x^2-2*x^3).at n=29A077871
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=40A078667
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=37A090784
- Numbers that can be expressed as the difference of the squares of primes in exactly six distinct ways.at n=13A092002
- Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct nonnegative integers chosen from the range 0..n.at n=13A097401
- Zeroless numbers for which the sum of the digits and the product of the digits are both Fibonacci numbers.at n=44A117725
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, 0, -1), (1, 0, 1)}.at n=8A149375
- Numbers n such that sigma(lambda(n)) = lambda(sigma(n)).at n=29A173942
- Number of 3-step one or two collinear space at a time queen's tours on an n X n board summed over all starting positions.at n=8A187028
- Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having three, four or five distinct values for every i,j,k<=n.at n=11A211724
- E.g.f. A(x) satisfies A(A(x)) = (1/4)*log(1/(1-4*x)).at n=5A220112
- a(n) = Sum_{i=0..n} Sum_{j=0..n} (i XOR j), where XOR is the binary logical exclusive-or operator.at n=27A224923
- Trisection of A107926: The least number k such that there are primes p and q with p - q = 6*n+4, p + q = k, and p the least such prime >= k/2.at n=27A234956
- Numbers k such that 11^phi(k) == 1 (mod k^2), where phi(k) = A000010(k).at n=19A253016
- Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=41A256532
- Numbers n such that 13^n is the highest power of 13 dividing A240751(n).at n=8A286007
- Number of Dyck paths of semilength n such that each positive level up to the highest nonempty level has exactly one peak.at n=16A287846