7492
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13118
- Proper Divisor Sum (Aliquot Sum)
- 5626
- 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
- 3744
- Möbius Function
- 0
- Radical
- 3746
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 88
- 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 period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=7A031826
- Denominators of continued fraction convergents to sqrt(764).at n=12A042473
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=24A064180
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=23A083707
- Number of terms in polynomial expression for determinant of generic circulant matrix of order n.at n=9A084575
- G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).at n=47A088954
- Index of the first occurrence of prime(n) in A092938.at n=36A092939
- Indices k such that the (k+1)-st partial sum of primes divided by k is an integer.at n=10A134126
- Indices k such that 26 plus the k-th triangular number is a perfect square.at n=8A154152
- Number of partitions of n such that the number of parts is divisible by the smallest part.at n=31A168657
- Number of nondecreasing arrangements of n+3 numbers in 0..5 with each number being the sum mod 6 of three others.at n=9A183900
- Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x+1 and 4x-3 are in a.at n=55A191132
- Number of (w,x,y) with all terms in {0,...,n} and w != max(|w-x|, |x-y|).at n=19A213501
- Association types in 2-dimensional algebra.at n=6A236339
- Number A(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=42A237018
- Triangle T(n, k) = Number of ways to arrange k indistinguishable points on an n X n square grid so that no four of them are vertices of a square of any orientation.at n=20A240444
- 6-step Fibonacci sequence starting with (0,0,0,0,1,0).at n=19A251706
- 7-step Fibonacci sequence starting with (0,0,0,1,0,0,0).at n=20A251712
- Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7.at n=6A252300
- Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7.at n=2A252312