8764
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17584
- Proper Divisor Sum (Aliquot Sum)
- 8820
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 4382
- Omega Function (Ω)
- 4
- 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
- no
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=29A020407
- n written in fractional base 9/8.at n=31A024656
- Gaps of 2 in sequence A038593 (lower terms).at n=12A038643
- Numbers ending with '4' that are the difference of two positive cubes.at n=22A038859
- (n+4)^3 - n^3.at n=24A038866
- Sum of terms in n-th row of A077164.at n=20A077167
- k such that k-th prime is of the form 2n^2 + 3n + 3.at n=31A096690
- Numbers that are multiples of 28 and contain both a 4 and a 7.at n=27A171077
- a(0)=0, a(1)=1, for n>1, a(n) = floor(a(n-1)/n) + a(n-2)*2.at n=27A182443
- Number of transpose partition pairs of order n whose number of odd parts differ by numbers of the form 4*k + 2.at n=38A190101
- Number of obtuse isosceles triangles on an n X n grid.at n=13A190318
- Number of 0..n arrays x(0..10) of 11 elements with zero 5th differences.at n=40A200373
- Number of (n+1)X(2+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A237551
- Number of (n+1)X(3+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237552
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=7A237557
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=8A237557
- Number of n X n binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=4A266422
- Number of nX5 binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=4A266425
- T(n,k)=Number of nXk binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=40A266428
- Number of 5Xn binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.at n=4A266431