8463
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14336
- Proper Divisor Sum (Aliquot Sum)
- 5873
- 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
- 4320
- Möbius Function
- 1
- Radical
- 8463
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- no
- Odd
- yes
Appears in sequences
- Number of sublattices of index n in generic 3-dimensional lattice.at n=47A001001
- Number of n-step self-avoiding walks on a cubic lattice with a first step along the positive x, y, or z axis.at n=5A002902
- Numbers whose base-6 representation is the juxtaposition of two identical strings.at n=38A020334
- a(n) = n*(25*n + 1)/2.at n=26A022283
- Expansion of Product_{m>=1} (1+q^m)^(-3).at n=34A022598
- Numbers having period-2 6-digitized sequences.at n=30A031357
- Base-6 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3.at n=5A037592
- Values of A038005 ending in 3.at n=6A038013
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=19A039752
- Numbers whose base-5 representation contains exactly three 2's and three 3's.at n=5A045277
- a(n) = n*(n+1)*(n^2 + n + 4)/4.at n=13A061316
- Numbers k such that sopf(k) = sopfr(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=19A064678
- Numbers k such that tau(k) - tau(k+1) = 1.at n=16A068208
- G.f. satisfies: A(x) = exp( Sum_{n>=1} L(n)*A(x^n)*x^n/n ) where L(n) = n-th Lucas number.at n=10A073063
- a(n) = 2^(2^(n-1))*b(n) where b(1) = 1/2 and b(n+1) = b(n) - b(n)^2.at n=4A076628
- Row sums of triangle A086636.at n=6A086637
- G.f.: (1+x^3+x^4+x^5+x^6+x^9)/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)).at n=34A090491
- In binary representation: numbers not occurring in their factorial.at n=37A093685
- Sixth column (m=5) of (1,4)-Pascal triangle A095666.at n=11A095668
- Right-truncatable Harshad numbers (zeros not permitted).at n=33A097569