9648
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
- 30
- Divisor Sum
- 27404
- Proper Divisor Sum (Aliquot Sum)
- 17756
- 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
- 3168
- Möbius Function
- 0
- Radical
- 402
- Omega Function (Ω)
- 7
- 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
- 73
- 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
- a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4).at n=27A026043
- Expansion of (1-2*x-x^2)/((1-2*x)*(1-2*x+2*x^2)).at n=10A038508
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=31A038852
- Numbers ending with '8' that are the difference of two positive cubes.at n=33A038863
- Ninth column (m=8) of convolution triangle A059594(n,m).at n=6A059597
- Coefficient of X^2 in expansion of (1 + n*X + n*X^2)^n.at n=11A092365
- Numbers k that divide the sum of the digits of k^k.at n=15A108827
- Sum of the sizes of the tails below the Durfee squares of all partitions of n.at n=22A116365
- A090801(2n-1)+A090801(2n).at n=25A140958
- a(n) = prime(prime(prime(n) - 1) - 1) - 1, where prime(n) = n-th prime.at n=44A141208
- Coefficients of a Hermite-like polynomial from Eulerian polynomials: p(x,n) = Sum_{k=1..n+1} [Eulerian(n + 1, k - 1)*x^(k - 1)]; q(x,n) = p''(x,n) - x*p'(x,n) + n*p(x,n).at n=18A171633
- Numbers k such that sigma(tau(k)) equals the sum of distinct primes dividing k.at n=31A173325
- a(n) = a(n-1) + A073053(a(n-1)).at n=42A173578
- Number of reduced 3 X 3 semimagic squares with distinct nonnegative integer entries and maximum entry n.at n=9A173727
- Products of form p^4*q^2*r where p, q and r are three distinct primes.at n=39A179669
- Antidiagonal sums of A177517.at n=26A186426
- Numbers divisible by at least four of their digits, different and >1.at n=25A187238
- Number of partitions p of n not containing floor((min(p) + max(p))/2) as a part.at n=34A238483
- Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=6A240377
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=34A240381