11028
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25760
- Proper Divisor Sum (Aliquot Sum)
- 14732
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3672
- Möbius Function
- 0
- Radical
- 5514
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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
- 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 70.at n=22A031568
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 70.at n=2A031748
- A Pell related sequence.at n=9A084150
- Smallest k such that tau(n + k) = tau (nk), or 0 if no such number exists, where tau = A000005.at n=59A085045
- Smallest k such that n+k and n*k have the same prime signature, or 0 if no such number exists.at n=59A085073
- Let n = a_1a_2...a_k, where the a_i are digits. a(n) = least multiple of n of the type b_1a_1b_2a_2...a_kb_{k+1}, obtained by inserting single digits b_i in the gaps and both ends; 0 if no such number exists.at n=11A110735
- Numbers beginning with a vowel in French.at n=30A118557
- a(n) = index of second occurrence of A161926(n) in A114381.at n=7A161927
- Even cyclops numbers.at n=44A162198
- Numbers n with property that there is a different number m such that the lunar squares n*n and m*m are the same.at n=16A181319
- Number of (n+1) X (n+1) 0..3 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors.at n=1A205936
- Number of (n+1) X 3 0..3 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors.at n=1A205938
- T(n,k) = number of (n+1) X (k+1) 0..3 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors.at n=4A205944
- The permanent of the distance matrix of the rooted tree having Matula number n.at n=27A206489
- The permanent of the distance matrix of the rooted tree having Matula number n.at n=42A206489
- Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments.at n=34A208181
- Number of partitions of n containing m(3) as a part, where m denotes multiplicity.at n=38A240488
- Number of partitions p of n such that m(p) = m(c(p)), where m = minimal multiplicity of parts, and c = conjugate.at n=33A240731
- Imaginary parts of b(n) sequence used to define A143056.at n=20A272665
- Number of inversion sequences of length n where all consecutive subsequences i,j,k satisfy i >= j <= k or i <= j >= k.at n=8A326412