10340
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 13852
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3680
- Möbius Function
- 0
- Radical
- 5170
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Positive numbers k such that k and 4*k are anagrams in base 5 (written in base 5).at n=2A023063
- Concatenate n-th prime and n-th composite.at n=26A038530
- Numbers k such that k + the reversal of k is a square.at n=32A061230
- Row sums of triangle A067979; also of triangle A067990.at n=9A067989
- Numbers k such that sigma(k) = phi((prime(k)+prime(k+1))/2).at n=8A068365
- Numbers k such that binomial(prime(k), k) is divisible by k^2.at n=28A081384
- Number of partitions of 6^n into powers of 6, also equals the row sums of triangle A111825, which shifts columns left and up under matrix 6th power.at n=4A111827
- n! in base 5.at n=6A127109
- Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the number of partitions of k^n into powers of k.at n=59A145515
- Number of ways to place 2 nonattacking amazons (superqueens) on an n X n board.at n=12A172200
- Number of nondecreasing arrangements of n+3 numbers in 0..4 with each number being the sum mod 5 of three others.at n=16A183899
- a(n) = n*(13*n-3)/2.at n=40A186030
- Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=22A188250
- Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=5A207508
- Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=5A207512
- Dimension of space of invariant tensors in 2n-th tensor power of natural representation of Sp(8).at n=6A251598
- a(n) = [x^n] Product_{k=1..n} (1+x^k)^3 / x^(2*k).at n=7A258799
- Number of (n+1)X(5+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nondecreasing.at n=9A263870
- a(n) = n*(n + 7)*(n + 14)/6.at n=33A264444
- Number of partitions of n with product of multiplicities of parts equal to 6.at n=50A266689