10963
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11560
- Proper Divisor Sum (Aliquot Sum)
- 597
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10368
- Möbius Function
- 1
- Radical
- 10963
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- Fermat coefficients.at n=10A000971
- A generalized Fibonacci sequence.at n=52A001584
- a(n) = floor(binomial(n,5)/6).at n=26A011843
- Pseudoprimes to base 31.at n=38A020159
- Strong pseudoprimes to base 31.at n=8A020257
- Numerators of continued fraction convergents to sqrt(647).at n=7A042242
- Numbers whose base-5 representation contains exactly three 2's and three 3's.at n=11A045277
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=24A063048
- Nonprimes k such that k divides 3^(k-1) - 2^(k-1).at n=25A073631
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=25A088753
- a(n) = ((1 + 3*sqrt(2))^n + (1 - 3*sqrt(2))^n)/2.at n=6A125818
- Number of intersection points of all lines through pairs of vertices of a regular n-gon.at n=16A146212
- a(n) = 1 + n*(n+1)*(n-1)/2.at n=28A158842
- Semiprimes which are the sum of three distinct positive cubes in two or more distinct ways.at n=11A180089
- Number of kites, distinct up to congruence, on an n X n grid (or geoboard).at n=31A181946
- Nonprime numbers with all divisors with additive digital root of 1.at n=29A211822
- Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-2*min{w,x,y,z}.at n=18A212745
- a(0) = 0; a(n+1) = 2*a(n) + k where k = 0 if prime(n+2)/prime(n+1) < prime(n+1)/prime(n), otherwise k = 1.at n=14A215410
- Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing.at n=40A232790
- Nonprimes such that it takes exactly 3 iterations of reverse-and-add digits to generate a prime.at n=21A245208