17484
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 43008
- Proper Divisor Sum (Aliquot Sum)
- 25524
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5520
- Möbius Function
- 0
- Radical
- 8742
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 110
- 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
- Expansion of critical exponent for walks on tetrahedral lattice.at n=11A007181
- Numbers whose base-4 representation has exactly 8 runs.at n=6A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=27A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=6A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=6A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=6A043875
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=31A045946
- Numbers that are sums of 2 or more consecutive squares in more than 1 way.at n=23A062681
- Number of binary trees of path length n.at n=32A095830
- Number of partitions of n such that the numbers of prime and composite parts differ by at least 1.at n=46A116450
- Numbers that are the sum of one or more consecutive squares in more than one way.at n=29A130052
- Row sums of A163357 and A163359.at n=28A163365
- Number of ways to place 4 nonattacking kings on a 4 X n board.at n=8A172203
- Monotonic ordering of set S generated by these rules: if x and y are in S then floor(x*y/2) is in S, and 5 is in S.at n=34A192520
- Binomial transform of A004111.at n=11A196154
- Triangle T(n,m) = coefficient of x^n in expansion of [(1-(1-9*x)^(1/3))/(4-(1-9*x)^(1/3))]^m = sum(n>=m, T(n,m) x^n).at n=30A202483
- Expansion of Product_{k>=1} ((1+x^k)/(1-x^k))^(3*k).at n=7A261389
- Number of n X 3 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.at n=16A266930
- a(n) = 8*3^n - 12.at n=6A277106
- Numbers that can be written as the sum of four or more consecutive squares in more than one way.at n=14A307937