14220
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 43680
- Proper Divisor Sum (Aliquot Sum)
- 29460
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 2370
- Omega Function (Ω)
- 6
- 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
- 120
- 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
- Number of equilateral triangles formed by triples of points taken from a hexagonal chunk of side n in the hexagonal lattice.at n=9A008893
- Even 10-gonal (or decagonal) numbers.at n=30A028994
- a(n) is the smallest k > a(n-1) such that k^2 has no digit in common with a(n-1)^2.at n=44A030287
- Sequence (a(n): n >= 1) that shifts left 2 places under the "CHK" (necklace, identity, unlabeled) transform and has initial terms a(1) = a(2) = 1.at n=16A032173
- Numbers k such that 91*2^k+1 is prime.at n=8A032395
- McKay-Thompson series of class 32A for Monster.at n=38A058629
- Numbers n which are a proper multiple (>1) of A068505(n) (= n read in base m+1 where m = largest digit of n).at n=31A089584
- Difference between the product of two consecutive primes and the next prime.at n=29A111071
- Triangle T, read by rows, such that the matrix inverse satisfies: [T^-1](n,k) = -(k+1)*T(n-1,0) for n>k>=0, with T(n,n)=1 for n>=0.at n=39A112911
- Column 3 of triangle A112911.at n=5A112914
- Decagonal numbers divisible by 10.at n=12A117797
- Numbers k such that the k-th triangular number contains only digits {0,1,3}.at n=10A119036
- 10-gonal numbers which are divisible by the sum of their digits.at n=22A119548
- Number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly 3 adjacent element pairs in decreasing order.at n=3A151584
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 9.at n=5A154075
- Partial sums of prime numbers of measurement A002049.at n=33A173702
- Number of (n+1) X (n+1) 0..1 arrays with the number of equal 2 X 2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order.at n=4A205218
- Number of (n+1)X6 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order.at n=4A205223
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order.at n=40A205226
- Number of nXnXn triangular 0..1 arrays with some element plus some adjacent element totalling 1+1 exactly once.at n=5A270503