10326
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20664
- Proper Divisor Sum (Aliquot Sum)
- 10338
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3440
- Möbius Function
- -1
- Radical
- 10326
- Omega Function (Ω)
- 3
- 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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Related to representation as sums of squares.at n=18A002292
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100.at n=26A031598
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=40A048130
- Truncated triangular pyramid numbers: a(n) = Sum_{k=4..n} (k*(k+1)/2 - 9).at n=35A051937
- Number of unlabeled asymmetric 6-ary cacti having n polygons.at n=6A054367
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=37A063372
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=41A132184
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150740
- Numbers that are the sum of two reversed consecutive primes in more than one way.at n=29A162705
- The initial decimal digits of 2^a(n) are the decimal digits of n followed by n.at n=26A171652
- a(n) = 2*(a(n-1) + a(n-2) + a(n-3)) - a(n-4) for n >= 4, with initial terms 0,0,0,1.at n=12A192237
- Number of (n+1)X2 0..1 arrays with permanents of 2X2 subblocks differing from neighboring permanents.at n=18A204543
- a(n) = A220437(n)/2.at n=4A220438
- Expansion of q * (phi(-q^2) * psi(-q)^2)^4 in powers of q where phi(), psi() are Ramanujan theta functions.at n=37A225912
- Expansion of q^(-1/2) * k(q) * (1 - k(q)^4) * (K(q) / (Pi/2))^6 / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions.at n=18A225923
- E.g.f. A(x) satisfies: A'(x) = A(x*A'(x)^5) with A(0)=1.at n=5A232695
- a(n) = 5*2^(n+2) + 2^(2n+2) + 10*3^n + 5^n + 35.at n=5A254367
- Fourth partial sums of fifth powers (A000584).at n=4A254644
- Row sums of the array A274196, defined by g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,4k) for n > 0, k > 1.at n=42A274197
- The number of edges in a graph induced by a regular drawing of K_{n,n}.at n=13A290132