9498
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19008
- Proper Divisor Sum (Aliquot Sum)
- 9510
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3164
- Möbius Function
- -1
- Radical
- 9498
- Omega Function (Ω)
- 3
- 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
- 78
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of oriented rooted trees with n nodes. Also rooted trees with n nodes and 2-colored non-root nodes.at n=7A000151
- Number of self-converse oriented trees with n nodes.at n=15A007748
- Coefficients of the '6th-order' mock theta function sigma(q).at n=52A053271
- Diagonal of triangular spiral in A051682.at n=45A081270
- Sum of ordered 3 prime sided prime triangles.at n=41A105100
- Number of partitions of n into parts not congruent to 0, 2, 12, 14, 16, 18, 20, 30 (mod 32).at n=41A115671
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (1, -1, 0), (1, 1, -1), (1, 1, 0)}.at n=8A149213
- Coefficients of the sixth-order mock theta function phi_{-}(q).at n=26A153251
- Integer part of square root of n^5 = A000584(n).at n=38A155013
- Number of complete quadrangles on an n X n grid (or geoplane).at n=4A175383
- Numbers k such that (10^(2k+1) - 6*10^k - 1)/3 is prime.at n=17A183174
- Expansion of psi(x^4) / phi(-x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=20A187154
- a(n) = Sum_{i+j+k=n, i,j,k >= 1} tau(i)*tau(j)*tau(k), where tau() = A000005().at n=27A191829
- Generating primitive Pythagorean triangles by using (n, n+1) gives perimeters for each n. This sequence lists the sum of these perimeters for each n triangles.at n=17A193068
- Square array read by antidiagonals downwards: T(n,k) = number of ways to arrange k indistinguishable points on an n X n square grid so that no three points are collinear at any angle.at n=32A194193
- Partitions of n into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32).at n=40A208856
- Expansion of psi(x^4) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=20A210063
- Expansion of q * f(-q,-q^7)^2 / (phi(q^2) * psi(-q)) in powers of q where phi(), psi(), f(,) are Ramanujan theta functions.at n=40A224216
- Trisection of A107926: The least number k such that there are primes p and q with p - q = 6*n+2, p + q = k, and p the least such prime >= k/2.at n=37A234955
- Number A(n,k) of rooted trees with n nodes and k-colored non-root nodes; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=63A242249