9504
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
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 20736
- 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
- 2880
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 9
- 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
- 78
- 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
- a(n) = (5*n+1)*(5*n+4).at n=19A001545
- The smaller of a betrothed pair.at n=7A003502
- Theta series of {E_6}* lattice.at n=23A005129
- Betrothed (or quasi-amicable) numbers.at n=13A005276
- Number of 2n-step polygons on honeycomb.at n=11A005396
- a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=26A006000
- Number of 3-voter voting schemes with n linearly ranked choices.at n=21A007009
- a(n) = (n+1)*binomial(n+1,5).at n=7A027765
- a(n) = (n+1)*binomial(n+1,7).at n=5A027767
- Expansion of 1/((1-2x)(1-7x)(1-10x)(1-11x)).at n=3A028012
- Form a triangle with n numbers in top row; all other numbers are the sum of their parents. E.g.: 4 1 2 7; 5 3 9; 8 12; 20. The numbers must be positive and distinct and the final number is to be minimized. Sequence gives final number.at n=11A028307
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=26A028660
- "DHK[ 7 ]" (bracelet, identity, unlabeled, 7 parts) transform of 1,1,1,1,...at n=15A032248
- Numbers with two representations as cube + fifth power.at n=2A035046
- Offsets for the Atkin Partition Congruence theorem.at n=39A036492
- Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*11^j.at n=11A038265
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*6^j.at n=13A038320
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-2)/2.at n=20A047191
- a(n) = Fibonacci(n) AND Fibonacci(n+1).at n=23A051122
- Numbers k such that k | sigma_5(k).at n=44A055709