5382
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 7722
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1584
- Möbius Function
- 0
- Radical
- 1794
- Omega Function (Ω)
- 5
- 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
- 116
- 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 nonintersecting rook paths joining opposite corners of 4 X n board.at n=5A007786
- Coordination sequence T7 for Zeolite Code MFS.at n=45A008179
- Number of triples of different integers from [ 2,n ] with no common factors between pairs.at n=48A015620
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=41A023177
- Numerators of continued fraction convergents to sqrt(794).at n=9A042530
- a(n) = (5*n+8)(!^5)/8(!^5), related to A034300 ((5*n+3)(!^5) quintic, or 5-factorials).at n=3A051689
- Numbers k such that 1 + product of first k composite numbers is prime.at n=19A053982
- Expansion of cube of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=37A055102
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=17A055755
- Triangle of self-avoiding rook paths joining opposite corners of n X k board.at n=18A064297
- Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board.at n=39A064298
- Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board.at n=41A064298
- Number of partitions of n with designated summands.at n=20A077285
- Number of 3 X n (0,1) matrices such that each row and each column is nondecreasing or nonincreasing.at n=12A086113
- a(n+1) = (a(n)-1)-th prime + 1, a(1) = 2.at n=8A095938
- Numbers k that divide the sum of the digits of 2^k * k!.at n=22A108861
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1.at n=40A113744
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.at n=35A113746
- Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c^2+d^2)/2)).at n=18A134602
- a(n) = n*(8*n-1).at n=26A139274