7916
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13860
- Proper Divisor Sum (Aliquot Sum)
- 5944
- 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
- 3956
- Möbius Function
- 0
- Radical
- 3958
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 145
- 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 56.at n=40A020395
- "BFK" (reversible, size, unlabeled) transform of 2,1,1,1...at n=25A032044
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 5).at n=45A035556
- Numerators of continued fraction convergents to sqrt(879).at n=7A042698
- a(n) = floor(47*(n-3/2)^(3/2)).at n=30A050256
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n faces and k vertices, where (n/2+2) <= k <= (2n+8).at n=33A058787
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n edges and k vertices (or k faces), where (n/3+2) <= k <= (2n/3). Note that there is no such k when n=7.at n=41A058788
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n edges and k vertices (or k faces), where (n/3+2) <= k <= (2n/3). Note that there is no such k when n=7.at n=44A058788
- Diagonal of triangular spiral in A051682.at n=41A081270
- Number of partitions of n with rank 2 (the rank of a partition is the largest part minus the number of parts).at n=48A101199
- a(n) = (n/2)*binomial(n-1, floor((n-1)/2)) - 2^(n-2).at n=13A107373
- Coefficients of x^n in the (n-1)-th iteration of (x + x^2) for n>=1.at n=6A112319
- Least number k such that binomial(2k,k) is divisible by all squares to n squared but not (n+1) squared, or 0 if impossible.at n=27A118562
- Expansion of 1/(1-x-x^5-x^6).at n=28A121832
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 1), (0, -1), (1, -1), (1, 0)}.at n=12A151503
- Numbers p of primitive Pythagorean triangles such that perimeters and products of 3 sides are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, ar=a*b/2; s=a+b+c, s-+1 are primes, pr=a*b*c, pr-+1 are primes.at n=1A155178
- Triangle, read by rows, that transforms rows into diagonals in the table of coefficients of successive iterations of x+x^2 (cf. A122888).at n=21A166900
- The number of returns to the origin in all possible one-dimensional walks of length 2n.at n=6A172060
- Partial sums of prime numbers of measurement A002049.at n=27A173702
- Number of 0..n arrays x(0..9) of 10 elements with zero 6th differences.at n=20A200333