14320
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 33480
- Proper Divisor Sum (Aliquot Sum)
- 19160
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5696
- Möbius Function
- 0
- Radical
- 1790
- Omega Function (Ω)
- 6
- 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
- 102
- 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*(9*n-2).at n=40A013656
- Powers of fourth root of 19 rounded down.at n=13A018099
- Powers of fourth root of 19 rounded to nearest integer.at n=13A018100
- Number of perfect matchings in graph P_{2} X P_{3} X P_{n}.at n=5A028447
- Number of perfect matchings in graph P_{2} X P_{5} X P_{n}.at n=3A028449
- Configurations of linear chains in a 5-dimensional hypercubic lattice.at n=4A038727
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=35A065255
- Number of partitions of 2*n with no part divisible by 3 and all odd parts occurring with even multiplicities.at n=29A098151
- Numbers n such that (273*2^n-1)^2-2 is prime.at n=44A100913
- a(n) = 512*n - 16.at n=27A157447
- T(n,k) = number of n X k matrices containing a permutation of 1..n*k moving each element at most to a neighboring position.at n=23A181206
- T(n,k) = number of n X k matrices containing a permutation of 1..n*k moving each element at most to a neighboring position.at n=25A181206
- Number of (n+2) X (4+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=8A252807
- Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally and vertically.at n=1A254992
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally and vertically.at n=4A254998
- Coefficients of mock modular form H_1^(7) of type 1A.at n=27A256056
- Number of length-4 0..n arrays with no repeated value differing from the previous repeated value by other than one.at n=9A269538
- Positive integers n such that n=p+q for some primes p,q with pi(p)*pi(q) = sigma(n).at n=23A273286
- Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=11A298633
- a(n) = 36*n^2 - 4*n (n>=1).at n=19A304380