13324
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 23324
- Proper Divisor Sum (Aliquot Sum)
- 10000
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6660
- Möbius Function
- 0
- Radical
- 6662
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 182
- 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 partitions into non-integral powers.at n=43A000148
- Squares written in base 5.at n=33A001740
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=2A031860
- Denominators of continued fraction convergents to sqrt(884).at n=11A042709
- Numbers n such that sigma(reversal(n)) = reversal(sigma(n)). Ignore leading 0's.at n=15A069514
- Expansion of eta(q^6) * eta(q^10) / (eta(q) * eta(q^15)) in powers of q.at n=38A094023
- Numbers of the forms 4*p or q where both numbers p=(10^n-7)/3 and q=(127*10^(n-1)-7)/3 are primes.at n=4A102589
- Expansion of q * (chi(-q^3) * chi(-q^5)) / (chi(-q) * chi(-q^15))^2 in powers of q where chi() is a Ramanujan theta function.at n=37A123630
- Number of base 14 circular n-digit numbers with adjacent digits differing by 1 or less.at n=8A124707
- Expansion of f(-q^6) * f(-q^10) / (f(q) * f(q^15)) in powers of q where f() is a Ramanujan theta function.at n=38A145728
- Convolution of A039599 with itself .at n=27A152038
- a(n) is the smallest number whose English name has the letter "f" in the n-th position, or -1 if no such number exists.at n=34A164794
- a(n) is the smallest number whose English name has the letter "r" in the n-th position, or -1 if no such number exists.at n=37A164796
- a(n) is the smallest number whose English name has the letter "u" in the n-th position, or -1 if no such number exists.at n=36A164797
- T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.at n=38A187705
- Number of 4X4 0..n arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.at n=6A187707
- Number of -6..6 arrays x(0..n-1) of n elements with zero sum and no two neighbors equal.at n=4A199702
- T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two neighbors equal.at n=49A199704
- Number of -n..n arrays x(0..4) of 5 elements with zero sum and no two neighbors equal.at n=5A199707
- Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal.at n=3A233685