8320
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 21420
- Proper Divisor Sum (Aliquot Sum)
- 13100
- 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
- 3072
- Möbius Function
- 0
- Radical
- 130
- 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
- 34
- 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
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=50A000549
- Numbers that are the sum of 4 positive 6th powers.at n=27A003360
- Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...at n=8A012912
- cosh(arcsin(x)+sin(x))=1+4/2!*x^2+16/4!*x^4+184/6!*x^6+8320/8!*x^8...at n=4A012921
- exp(arcsinh(x)+arcsin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+50/5!*x^5...at n=8A013084
- cos(arcsinh(x)+arcsin(x))=1-4/2!*x^2+16/4!*x^4-280/6!*x^6+8320/8!*x^8...at n=4A013089
- Expansion of e.g.f. exp(sin(x)-sinh(x)).at n=14A013369
- sec(sin(x)-sinh(x))=1+40/6!*x^6+480/10!*x^10+1232000/12!*x^12...at n=7A013375
- Number of types of Boolean functions of n variables under a certain group.at n=6A028403
- Theta series of 6-dimensional lattice of det 8.at n=33A029543
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 45.at n=24A031543
- Number of reversible strings with n beads of 4 colors.at n=7A032121
- a(n) = 4*n*(2*n + 1).at n=32A033586
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=37A046312
- Numbers n such that 77*2^n-1 is prime.at n=18A050564
- Expansion of (1-x)/(1-2x-4x^2+4x^3).at n=9A052904
- McKay-Thompson series of class 10a for Monster.at n=9A058102
- Numbers having exactly twelve anti-divisors.at n=32A066478
- Number of permutations p of [n] satisfying i-2 <= p(i) <= i+4 for all i in [n].at n=10A072850
- Sum of coefficients of (x1)^(2i(1))*(x2)^(2i(2))*(x3)^(2i(3))*(x4)^(2i(4)) for {(i1),(i2),(i3),(i4)}=0,1,2,... : sum(i)=2n in the expansion of (x1+x2+x3+x4)^(2n) where n >= 1.at n=3A075878