14456
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29400
- Proper Divisor Sum (Aliquot Sum)
- 14944
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6624
- Möbius Function
- 0
- Radical
- 3614
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- 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
- a(n) = (3*n - 1)*(4*n - 1).at n=35A033578
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,0,1.at n=6A037786
- G.f. satisfies: A(x) = ( 1 + x*A(x)/A(-x) )^2.at n=8A143561
- Triangle, read by rows, T(n, k) = binomial(n, k) for n < 2 and binomial(n, k) + 2^(n-1) * binomial(n-2, k-1) otherwise.at n=58A146986
- Triangle, read by rows, T(n, k) = binomial(n, k) for n < 2 and binomial(n, k) + 2^(n-1) * binomial(n-2, k-1) otherwise.at n=62A146986
- Totally multiplicative sequence with a(p) = a(p-1) + 7 for prime p.at n=37A166704
- Number of n X 1 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors.at n=10A197435
- Sum of absolute values of the character table of the symmetric group S_n.at n=9A214418
- Number of (n+1)X(n+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A238073
- Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A238075
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=4A238081
- Number of partitions of n having population standard deviation > 1.at n=34A238619
- Number of partitions of n having population standard deviation >= 1.at n=34A238620
- Number of nX4 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=3A240335
- T(n,k)=Number of nXk 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=24A240338
- Number of partitions of n such that the number of even parts is a part and the number of odd parts is not a part.at n=41A240577
- Number of length n+4 0..4 arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=4A247400
- T(n,k)=Number of length n+4 0..k arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=32A247404
- Number of length 5+4 0..n arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=3A247409
- Number of transitive finitary sets with n brackets. Number of transitive rooted identity trees with n nodes.at n=43A279861