7807
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8056
- Proper Divisor Sum (Aliquot Sum)
- 249
- 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
- 7560
- Möbius Function
- 1
- Radical
- 7807
- Omega Function (Ω)
- 2
- 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
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=36A000125
- Coordination sequence for alpha-Mn, Position Mn2.at n=23A009951
- Numbers having three 7's in base 8.at n=36A043451
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=34A055468
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=28A063372
- Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223.at n=33A064026
- Triple Peano sequence: a list of triples (x,y,z) starting at (1,1,1); then x'=x+1, y'=y+x, z'=z+y, for x only ranging over the primes.at n=35A071988
- Third terms of triple Peano sequence A071988.at n=11A072206
- Composite numbers k such that the continued fraction for k/m contains no 2 for any 1 <= m <= k.at n=27A082409
- a(n) = sum of absolute-valued coefficients of (1+2*x-4*x^2)^n.at n=5A084779
- Row sums of the triangle A097883.at n=24A098404
- Bisection of A000125.at n=18A100503
- A skew generalized Pascal triangle.at n=43A112906
- n times n+6 gives the concatenation of two numbers m and m-8.at n=10A116237
- Convolution triangle of A006190.at n=29A132964
- Number of permutation symbols of type .a(n) for hyperbolic archimedean tessellations of rank 2n.at n=8A142868
- A sequence of asymptotic density zeta(8) - 1, where zeta is the Riemann zeta function.at n=31A143034
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-1111-0100-0100 pattern in any orientation.at n=11A147474
- 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, 1), (-1, 1, -1), (0, 0, 1), (0, 1, 0), (1, 0, 0)}.at n=7A151037
- a(n) = 6^n + 2^n - 1.at n=5A155589