14178
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 16062
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 1
- Radical
- 14178
- Omega Function (Ω)
- 4
- 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
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=17A031692
- Denominators of continued fraction convergents to sqrt(364).at n=9A041689
- G.f. satisfies A^4 = BINOMIAL(A)^3.at n=5A090355
- Third partial sums of fourth powers (A000583).at n=6A101090
- n+prime(n)+prime(prime(n)) is a triangular number, where prime(n) is the n-th prime.at n=18A116010
- Multiples of 17 containing a 17 in their decimal representation.at n=29A121037
- Least K such that K*(prime(100*n)^(100*n))-1 is prime with prime(n)=n-th prime.at n=23A129245
- a(n) = 289*n^2 + 17.at n=7A158585
- Number of n X n 0..3 arrays with rows and columns, considered as 4-ary numbers, in nondecreasing order.at n=2A162086
- a(n) = 49*n^2 + n.at n=16A173141
- Number of n X 3 0..3 arrays with rows and columns in nondecreasing order.at n=2A184123
- T(n,k)=Number of nXk 0..3 arrays with rows and columns in nondecreasing order.at n=12A184129
- Number of (n+2)X(n+2) 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.at n=0A184565
- Number of (n+2)X3 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.at n=0A184566
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.at n=0A184574
- Number of permutations p of {1,...,n} such that exactly one element of {p(1),...,p(i-1)} is between p(i) and p(i+1) for all i from 2 to n-1.at n=18A185030
- Number of (n+1) X (n+1) 0..2 arrays with no 2 X 2 subblock commuting with any of its horizontal and vertical 2 X 2 subblock neighbors.at n=1A187432
- Number of (n+1)X3 0..2 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=1A187434
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=4A187441
- Sum of prime anti-divisors of n = sum of prime anti-divisors of n+1 with n > 1.at n=3A192283