14094
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 18666
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 0
- Radical
- 174
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- a(n) = n^2*(5*n-3)/2.at n=18A006597
- Closed 3-dimensional ball numbers (version 2): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (1/2,0,0).at n=30A053593
- Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0).at n=30A053594
- Numbers k such that k | sigma_9(k) - phi(k)^9.at n=26A055703
- a(n) = (sum of digits of n)^4 - (sum of digits^4 of n).at n=39A069964
- Number of 4-way intersections in the interior of a regular 6n-gon.at n=26A137938
- First differences of A140495.at n=37A142716
- Number of Hi-Lo arrangements HL(m,n) of a deck with n suits and m ranks in each suit, m>=1, n>=1.at n=16A143381
- Sum of all primes from n-th prime to (2*n-1)-th prime.at n=43A161463
- a(n) is the smallest positive number such that a(n)*n is an anagram of a(n)*9.at n=46A175698
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical or antidiagonal neighbor, and containing the value n(n+1)/2-2.at n=17A211924
- Number of length n+5 0..3 arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms.at n=2A249955
- T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms.at n=12A249960
- Number of length 3+5 0..n arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms.at n=2A249963
- Expansion of Product_{k>=1} 1/(1-x^(k+7))^k.at n=44A263363
- Numbers k such that the odd part of sigma(sigma(k)) is equal to the odd part of sigma(k).at n=43A353365
- The number of maximal antichains in the lattice of set partitions of an n-element set.at n=4A358041
- Main diagonal of array in A358304, divided by 2.at n=32A358307
- Table T(n,k) read by antidiagonals: T(n,k) (n >=1, k >= 2) is the number of inversions in the radix-k digit reversal permutation of 0, 1, ..., k^n-1.at n=19A376790