11403
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18928
- Proper Divisor Sum (Aliquot Sum)
- 7525
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 3801
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Quadrinomial coefficients.at n=13A005719
- T(n, 2*n-3), T given by A027960.at n=38A027965
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=26A031779
- Numbers k such that 149*2^k+1 is prime.at n=25A032424
- Numbers k such that k! - (k-1)! - 1 is prime.at n=23A049433
- a(n) = (n^3 + 6n^2 - n + 12)/6.at n=39A074742
- Leading diagonal of A083173.at n=41A083174
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having pyramid weight k.at n=73A091866
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k exterior pairs.at n=51A091977
- a(n) = number of distinct values of Product_{i=1..r} x_i!*i!^x_i, where (x_1, ..., x_r) is an r-tuple of nonnegative integers with Sum_{i=1..r} i*x_i = n.at n=44A102465
- Numbers n such that the sum of the digits of phi(n)^sigma(n) is divisible by n.at n=16A109668
- Riordan array (1/sqrt(1-6x+5x^2),x/(1-6x+5x^2)).at n=30A111965
- Size of the Hilbert basis of the cone { x in Z+^n : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)).at n=17A141347
- Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 2 ones in any 4 X 4 X 4 subtriangle.at n=13A153914
- Sum of digits of square is sum of square of digits.at n=31A165550
- a(n) = n*(13*n-3)/2.at n=42A186030
- Number of 5-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=16A187510
- The number of divisors d of n! such that d < A000793(n) (Landau's function g(n)) and the symmetric group S_n contains no elements of order d.at n=51A211391
- Denominators of convergents to log_10(Pi).at n=7A219724
- G.f. satisfies: A( A(x)^2 - A(x)^3 ) = x^2, where A(x) = Sum_{n>=1} a(n)*x^n / 2^A273926(n).at n=9A273925