10327
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 473
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9856
- Möbius Function
- 1
- Radical
- 10327
- Omega Function (Ω)
- 2
- 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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- [ n(n-1)(n-2)(n-3)/17 ].at n=22A011927
- Least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 4th elementary symmetric function.at n=16A027918
- Number of ways of numbering the vertices of a cube so sum of the 8 numbers is n.at n=16A039959
- Concatenation of n-th prime and n in decimal notation.at n=26A075110
- Central coefficients of Moebius polynomials (A074586): coefficient of x^(n/2-1/2) if n is odd; coefficient of x^(n/2-1) if n is even and >4. The n-th Moebius polynomial, M(n,x), satisfies M(n,-1)=mu(n) the Moebius function of n.at n=14A077596
- Numerators of triangular array: T(n,1)=T(n,n)=1/n and T(n,k)=T(n-1,k-1)+T(n-1,k), 1<k<n.at n=47A080044
- Numerators of triangular array: T(n,1)=T(n,n)=1/n and T(n,k)=T(n-1,k-1)+T(n-1,k), 1<k<n.at n=52A080044
- Numbers k such that sigma(phi(k)) - phi(sigma(k)) is nonzero and divisible by sigma(k), that is A065395(k)/A000203(k) is a nonzero integer.at n=18A092588
- Irregular array where the n-th row are the divisors, not occurring earlier in the sequence, of the sum of the terms in all previous rows. a(1)=3.at n=49A120577
- Difference between first twin prime > 10^n and 10^n.at n=39A124001
- Least nontrivial number k such that the sum of the digits of k^k (mod k) == n.at n=58A140604
- Numbers that have 9 terms in their Zeckendorf representation.at n=23A179249
- a(0)=1, a(n+1) = (a(n)*6) XOR a(n).at n=5A182556
- Number of nX5 binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.at n=2A188743
- T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.at n=23A188747
- Number of 3 X n binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.at n=4A188748
- T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.at n=25A189617
- Number of 5 X n binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.at n=2A189620
- Number of nX5 binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally.at n=2A189692
- T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally.at n=23A189696