7096
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
- 8
- Divisor Sum
- 13320
- Proper Divisor Sum (Aliquot Sum)
- 6224
- 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
- 3544
- Möbius Function
- 0
- Radical
- 1774
- Omega Function (Ω)
- 4
- 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
- 57
- 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
- Coordination sequence for MgCu2, Mg position.at n=21A009931
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=37A020403
- Discriminants of quintic fields with 4 complex conjugates.at n=40A023685
- Multiplicity of highest weight (or singular) vectors associated with character chi_36 of Monster module.at n=37A034424
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5).at n=44A035557
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=7A047826
- Number of n-digit perfect powers.at n=7A075308
- Expansion of g.f. A(x) satisfying A(x)^2 = (1+x) * A(x*A(x)) with A(0) = 1.at n=7A120056
- Coefficient of x^2 in the polynomial (x-p(n))*(x-p(n+1))*(x-p(n+2))*(x-p(n+3)), where p(k) is the k-th prime.at n=9A127348
- Triangle T(n, k, q) = (q*(n-k) +1)*T(n-1, k-1, q) + (q*k+1)*T(n-1, k, q) + q*A157522(n, k)*T(n-2, k-1, q), with T(n, 0, q) = T(n, n, q) = 1 and q = 1, read by rows.at n=30A157523
- Triangle T(n, k, q) = (q*(n-k) +1)*T(n-1, k-1, q) + (q*k+1)*T(n-1, k, q) + q*A157522(n, k)*T(n-2, k-1, q), with T(n, 0, q) = T(n, n, q) = 1 and q = 1, read by rows.at n=33A157523
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208838; see the Formula section.at n=52A208339
- Numbers n such that gcd(n, phi(n)) = gcd(phi(n), sigma(n)) = gcd(sigma(n), n) = tau(n).at n=16A217301
- Irregular triangular array read by rows. T(n,k) is the number of weakly connected relations on n labeled nodes with k arcs. (n>=0, 0<=k<=n^2).at n=24A217563
- Number of (n+1) X (n+1) 0..1 matrices with each 2 X 2 subblock idempotent.at n=8A224543
- T(n,k)=Number of n X n 0..k matrices with each 2X2 subblock idempotent.at n=54A224665
- Number of distinct values of the sum of a*b+a*c+b*c over 2 sets of three a,b,c 0..n integers.at n=35A225269
- Triangle T(n, k) of the number of n X n binary matrices with k = 0..n^2 1's and no more than three 1's in the corners of any square sub-block.at n=23A227436
- Numbers k such that k^3 - b2 is a triangular number (A000217), where b2 is the largest square less than k^3.at n=24A233401
- Numbers n such that floor((3/2)^n)-floor((3/2)^(n-1)) is a prime number.at n=26A243591