10325
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14880
- Proper Divisor Sum (Aliquot Sum)
- 4555
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6960
- Möbius Function
- 0
- Radical
- 2065
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- no
- Odd
- yes
Appears in sequences
- Odd octagonal numbers: (2n+1)*(6n+1).at n=29A014641
- Pseudoprimes to base 57.at n=46A020185
- Numbers k such that k^2 + 3*k + 1 is a palindrome.at n=20A028348
- Positive numbers having the same set of digits in base 8 and base 9.at n=41A037441
- McKay-Thompson series of class 20D for Monster.at n=46A058553
- a(n) = n*(20 + 15*n + n^2)/6.at n=34A101853
- McKay-Thompson series of class 40B for the Monster group.at n=46A112179
- Octagonal numbers for which the product of the digits is also an octagonal number.at n=25A117083
- Numerator of Sum[ i^3/(n-i+1)^2, {i,1,n}].at n=3A119782
- Nonprimes k such that 7^k == 7 (mod k).at n=39A122784
- Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=24A124141
- Number of base 25 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125362
- Smallest number m such that exactly n odd numbers can be seen as proper subsequences of m in decimal representation.at n=15A164766
- Number of distinct values of Sum_{i=0..n} x(i)*binomial(n,i), where the x(i) is a vector of length n+1 that runs through all combinations of {0, 1}.at n=16A205536
- Number of (n+2) X 9 0..2 matrices with each 3 X 3 subblock idempotent.at n=10A224605
- Octagonal numbers with prime indices.at n=16A267144
- E.g.f. S(x) satisfies: S(x) = Integral (1 + S(x)^2)^(5/2) dx.at n=3A281427
- E.g.f.: C(x) + S(x) = exp( Integral C(x)^4 dx ) where C(x) and S(x) is described by A281428 and A281427, respectively.at n=7A281429
- Coefficients of 1/(Sum_{k>=0} round((k+1)*r)(-x)^k), where r = sqrt(2).at n=14A289912
- Octagonal numbers (A000567) in which parity of digits alternates.at n=11A297647