11413
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11628
- Proper Divisor Sum (Aliquot Sum)
- 215
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11200
- Möbius Function
- 1
- Radical
- 11413
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 11.at n=12A051976
- Numbers n such that n and its reversal are distinct brilliant numbers (A078972).at n=17A097435
- Numbers k (with no zero digits) with property that k raised to the product of its digits plus the sum of its digits is prime.at n=10A098797
- Brilliant numbers (A078972) which are the sum of distinct double factorials (A006882).at n=43A115652
- Both n and the reverse of n are brilliant numbers (A078972).at n=28A115655
- Start with 1 and repeatedly reverse the digits and add 42 to get the next term.at n=42A118075
- Numerators of partial sums of Catalan numbers scaled by powers of 1/12.at n=4A120782
- a(n) is the product of the least prime > n^2 and the greatest prime < (n+1)^2.at n=9A132657
- Linear recurrence a(n) = a(n-3) + 2a(n-5), starting from all-one initial conditions.at n=38A133683
- Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n.at n=41A137251
- Start of the first run of exactly n integers in A014134.at n=7A140867
- Number of -4..4 arrays of n elements with first through fourth differences also in -4..4.at n=5A202660
- T(n,k)=Number of -k..k arrays of n elements with first through fourth differences also in -k..k.at n=41A202664
- Number of -n..n arrays of 6 elements with first through fourth differences also in -n..n.at n=3A202666
- G.f. satisfies: A(x) = x^2/(1-x) + A(A(x)).at n=12A213906
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=31A217893
- Number of (n+2) X (2+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=17A253019
- Semiprimes whose prime factors are of equal binary length and which differ from each other in exactly two bit positions.at n=37A261074
- a(n) is the smallest nonnegative k such that there is no 3 X 3 matrix with entries in {1,...,n} whose determinant is k.at n=19A262719
- Intersection of A003052 and A283002.at n=22A283003