8376
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21000
- Proper Divisor Sum (Aliquot Sum)
- 12624
- 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
- 2784
- Möbius Function
- 0
- Radical
- 2094
- Omega Function (Ω)
- 5
- 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
- 127
- 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 k such that k^2 and k have same last 3 digits.at n=34A008853
- a(n) = floor( Gamma(n+1/4) ).at n=8A014513
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026758.at n=5A027234
- Number of primitive (aperiodic) palindromes using exactly four different symbols.at n=13A056465
- Multiples of 24 whose digits also sum to 24.at n=31A066270
- Triangle read by rows, in which n-th row contains smallest set of n consecutive numbers with distinct prime signatures.at n=46A083788
- Number of compositions of n into Fibonacci number of parts.at n=15A103197
- Concatenating n with n+1 (in base 10) gives a number which is the product of 2 palindromes.at n=11A113942
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 0), (1, 0, 0), (1, 1, 1)}.at n=7A150698
- a(n) = 13*n^2 + 10*n + 1.at n=25A161587
- A156790(n+1)-4*A156790(n).at n=12A177144
- The number of partial isometries (of an n-chain) of fix zero (fix of alpha = 0). Equivalently, the number of partial derangement isometries (of an n-chain).at n=11A183159
- Number of (n+1) X 3 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=14A186455
- a(n) = n*(14*n + 13).at n=24A195028
- Triangle of coefficients of polynomials u(n,x) jointly generated with A208922; see the Formula section.at n=58A208921
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=w+x+y<=1.at n=31A211615
- Numbers k such that sigma(k - 2) = sigma(k + 2).at n=14A223091
- Smallest k such that k^2 is a concatenation of two numbers x and y where y = x + n^2 and x and y have the same number of digits.at n=18A236383
- Rounded down ratio of area of a unit circle and one of the circles inscribed between a regular n-gon and a circumscribed unit circle.at n=12A244094
- Number of n X 3 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.at n=9A266050