9276
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21672
- Proper Divisor Sum (Aliquot Sum)
- 12396
- 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
- 3088
- Möbius Function
- 0
- Radical
- 4638
- 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
- 60
- Smith Number
- yes
- 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
- From a definite integral.at n=9A002571
- Molien series for cyclic group of order 5.at n=30A008646
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=36A020407
- Position of n^3 + 9 in A024975.at n=43A024979
- 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 48.at n=40A031546
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=48A052477
- Expansion of e.g.f.: (x/(1-x))*exp(x/(1-x)).at n=6A052852
- Triangle T = A007318*A271703; T(n,m)= Sum_{i=0..n} L'(n,i)*binomial(i,m), m=0..n.at n=22A059110
- Triangle T(n,m)= Sum_{i=0..n} L'(n,i)*Product_{j=1..m} (i-j+1), read by rows.at n=22A059114
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,5.at n=17A064239
- Numbers k such that k+1, k^2+1 and k^4+1 are primes.at n=30A070325
- Expansion of (1-x)^(-1)/(1 + 2*x - 2*x^2 - x^3).at n=10A077916
- Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=25A086885
- Indices of terms in A091074 which are prime numbers.at n=32A091076
- Array t read by antidiagonals: number of {112,212}-avoiding words.at n=60A093190
- a(n) = (15*n^2 + 5*n + 2)/2.at n=34A093500
- a(n) = Sum_{i=1..n} Fibonacci(2i-1)^2.at n=6A103433
- Numbers k such that (2*k)!/(2*(k!)^2)+1 is prime.at n=38A112863
- a(n+4) = a(n+3)+a(n+1)+a(n)+k(n), where k(n) = 0, 1, 0, or -1 according to n mod 4.at n=22A115059
- a(n) = number of length-n binary strings with A006697(n) distinct substrings.at n=22A134457