11424
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
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 24864
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 714
- Omega Function (Ω)
- 8
- 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
- 37
- 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
- From the enumeration of corners.at n=7A006332
- Coefficients of Chebyshev T polynomials: a(n) = A053120(n+12, n), n >= 0.at n=5A006976
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).at n=17A011915
- 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 53.at n=27A031551
- One quarter of deca-factorial numbers.at n=3A035273
- T(n,k) = S(2n,n-1,k-1), 0 <= k <= n, n >= 0, array S as in A050157.at n=42A050160
- T(n, k) = S(2n+2, n+2, k+2) for 0<=k<=n and n >= 0, array S as in A050157.at n=33A050163
- There are exactly n integer-sided triangles of area a(n).at n=13A051586
- a(n) = (n + 2) * binomial(3*n, n) / (2*n + 1).at n=6A052183
- Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}.at n=35A054144
- Triangle read by rows: T(n, k) = number of matchings of 2n people with partners (of either sex) such that exactly k couples are left together.at n=30A055140
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=35A057683
- McKay-Thompson series of class 30B for the Monster group with a(0) = 0.at n=34A058613
- Numbers k such that sigma (x) = k has exactly 12 solutions.at n=13A060676
- 1/4 the number of colorings of an n X n rhombic hexagonal array with 4 colors.at n=3A068271
- 1/4 the number of colorings of an n X n staggered hexagonal array with 4 colors.at n=3A068283
- Pair the natural numbers such that the n-th pair is (k, k+p(n)) where k is the smallest number not occurring earlier and p(n) is the n-th prime. (1, 3), (2, 5), (4, 9), (6, 13), (7, 18), (8, 21), (10, 27), (11, 30), (12, 35), (14, 43), ... This is the sequence of the product of the members of every pair.at n=39A075316
- Sum of divisors of numbers containing in their decimal representation only the digits 0 and 1.at n=30A077810
- Triangle of coefficients of Chebyshev polynomials T_{2n+1} (x).at n=38A084930
- Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.at n=32A087035