9522
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 21567
- Proper Divisor Sum (Aliquot Sum)
- 12045
- 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
- 3036
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 5
- 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
- 34
- 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) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=26A014203
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T2 atom.at n=12A019187
- Numbers k such that 25*2^k+1 is prime.at n=25A032362
- Denominators of continued fraction convergents to sqrt(773).at n=8A042491
- Coefficients in the series (1 + x - x^4 - x^6 - x^8 - x^9 - x^10 - x^12 - x^14 ...)/(1 - x^2 - x^3 - x^5 - x^7 - x^11 - x^13 ...).at n=26A058354
- Positive numbers whose product of digits is 10 times their sum.at n=41A062043
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=29A063362
- Trajectory of 537 under the Reverse and Add! operation carried out in base 2, written in base 10.at n=5A077076
- Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals.at n=35A077591
- Twice a square but not the sum of 2 distinct squares.at n=42A081324
- Even refactorable numbers k such that the number r of odd divisors of k and the number s of even divisors of k are both odd divisors of k.at n=11A120361
- Expansion of x/((1 - x - x^4)*(1 - x)^5).at n=13A145134
- Numbers k such that k/A000005(k) is a square.at n=33A145450
- 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, 0, 0), (0, -1, 1), (0, 1, -1), (1, -1, 0), (1, 1, 0)}.at n=8A149348
- Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having three distinct real roots.at n=7A155191
- Number of 8X8 arrays of squares of integers, symmetric under 90 degree rotation, with all rows summing to n.at n=16A156397
- Number of n X n arrays of squares of integers, symmetric under 90 degree rotation, with all rows summing to 16.at n=7A156465
- Non-deficient numbers with odd sigma such that the sum of the even divisors is twice the sum of the odd divisors.at n=14A171642
- a(n) = floor(1/{(n^4+2*n)^(1/4)}), where {}=fractional part.at n=68A184636
- Number of permutations of 1..n with displacements restricted to {-7,-6,-5,-4,-3,-2,0,1}.at n=17A189600