9750
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 16458
- 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
- 2400
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 122
- 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
- Expansion of 1/((1-5x)(1-7x)(1-8x)(1-11x)).at n=3A028182
- Number of monic irreducible polynomials over GF(5) with fixed nonzero trace.at n=7A054662
- Number of monic irreducible polynomials over GF(5) with zero trace.at n=7A054663
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=25A063370
- Triangle read by rows: T(n,k) = binomial(3n+3, k)*(n-k+1)/(n+1).at n=40A064282
- Duplicate of A054663.at n=7A074026
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 75.at n=2A093275
- Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways.at n=16A097225
- a(n) = (7*n^3 + 6*n^2 + 5*n) / 6.at n=20A101165
- Invertible triangle: T(n,k) = number of k-ary Lyndon words of length n-k+1 with trace 1 modulo k.at n=70A110540
- Numbers m such that the numerator of the Bernoulli number B(m) is divisible by a cube.at n=33A122270
- Inverse of Riordan array (1/(1-x)^3, x/(1-x)^3).at n=40A127894
- Inverse of Riordan array (1/(1+x)^3, x/(1+x)^3).at n=40A127898
- Triangle, read by rows, equal to P^5, where triangle P = A135880.at n=32A135892
- Minimal covering numbers.at n=12A160559
- The absolute value of A161361(n)/(n+1).at n=2A161619
- a(n) = (n-5)*(n-6)*(n-7)*(n-16)/24.at n=23A167543
- Partial sums of A045699.at n=33A178494
- Number of 4-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=14A187299
- Number of (n+2) X 5 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order.at n=6A204637