9882
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 22506
- Proper Divisor Sum (Aliquot Sum)
- 12624
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 366
- Omega Function (Ω)
- 6
- 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
- 135
- 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
- yes
- Odd
- no
Appears in sequences
- Bending a piece of wire of length n+1 (configurations that can only be brought into coincidence by turning the figure over are counted as different).at n=9A001444
- Triangulations of the disk G_{3,n}.at n=5A005499
- Number of n-element algebras with 1 binary operator and 1 constant (pointed groupoids).at n=2A006448
- a(n) = [ a(n-1)/(sqrt(6) - 2) ], where a(0) = 1.at n=12A024557
- Numbers whose set of base-8 digits is {2,3}.at n=40A032808
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=41A033568
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.at n=6A037569
- Numerators of continued fraction convergents to sqrt(733).at n=4A042410
- a(n) = 3^n*(3^(n+1)+1)/2.at n=4A051407
- Sequence of sums based on primes = 7 mod 8.at n=24A060108
- The terms of A055235 (sums of two powers of 3) divided by 2.at n=49A073216
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=35A090177
- Numbers k such that if P = 10*k^2+1, then P, P+6, P+12 and P+18 are all primes.at n=30A092446
- a(n) = n! * Sum_{i+2j+3k=n} 1/(i!*(2j)!*(3k)!).at n=10A094717
- Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k horizontal steps on the x-axis (0<=k<=n). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1.at n=47A114709
- A triangle of coefficients of polynomials with roots as the Pi-digits base ten A000796(n)=d(n):d(1)=3; p(x,n)=-d(1)*Product[x-d(m),{m,2,n}].at n=41A152575
- a(n) = n^4*(n^5 + 1)/2.at n=3A168196
- Number of symmetry classes of 3 X 3 semimagic squares with distinct positive values and magic sum n.at n=43A173725
- Number of distinct values taken by 4th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.at n=38A199205
- Triangle read by rows: T(n,k) is the number of secondary structures of size n (n>=0) having k stacks of length 1 (k>=0).at n=52A202838