9430
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 8714
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 1
- Radical
- 9430
- Omega Function (Ω)
- 4
- 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
- 104
- 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 ways in which n identical balls can be distributed among 5 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=15A005338
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T4 atom.at n=12A019196
- Number of 10's in all partitions of n.at n=41A024794
- Character of extremal vertex operator algebra of rank 23/2.at n=4A028532
- Convolution of natural numbers n >= 1 with Lucas numbers L(k) for k >= -4.at n=19A033817
- a(n) = A047881(n) / 2.at n=36A047882
- Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.at n=13A062693
- Number of 2 X 2 non-singular integer matrices with entries from {0,...,n}.at n=9A062801
- Total number of even parts in all partitions of n.at n=26A066898
- Numbers k such that the simple continued fraction for (1+1/k)^k contains k.at n=51A071527
- Row 6 of rectangular table A124530.at n=6A124536
- Main diagonal of rectangular table A124530.at n=6A124537
- Numbers k such that k+1, k+3, k+7 and k+9 are all primes.at n=11A125855
- The even composites c such that c=q*g*j*y and q+g=j*y where q,g,j,y are primes.at n=26A167690
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202670 based on A000290 (the squares); by antidiagonals.at n=16A202671
- Number of n X 6 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=3A207936
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=39A207938
- Number of 4Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=5A207940
- G.f.: exp( Sum_{n>=1} 5*Fibonacci(n)^4 * x^n/n ).at n=6A207969
- Second 13-gonal numbers: a(n) = n*(11*n+9)/2.at n=41A211013