7513
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8208
- Proper Divisor Sum (Aliquot Sum)
- 695
- 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
- 6820
- Möbius Function
- 1
- Radical
- 7513
- 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
- 88
- 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
- Coordination sequence T1 for Coesite.at n=45A008267
- a(n) = n*(31*n + 1)/2.at n=22A022289
- a(n) = Sum_{k=0..n} T(n,k) * T(n,2n-k), with T given by A027052.at n=8A027073
- a(n) = (2*n-1)*(5*n^2-5*n+6)/6.at n=16A063489
- Number of (binary) bit strings of length n in which no even block of 0's is followed by an odd block of 1's.at n=14A065455
- The (3^n)-th composite number.at n=8A065605
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=15A070192
- Number of distinct lines through the origin in 3-dimensional cube of side length n.at n=20A090025
- n*Jacobsthal(n).at n=11A093835
- Fundamental discriminants of real quadratic number fields with class number 5.at n=33A094614
- Sylvester dividends for Jacobsthal numbers.at n=54A105604
- Integers k such that 10^k + 33 is prime.at n=19A107084
- Number of different polyominoes with maximum area of the convex hull.at n=49A122133
- a(n) = coefficient of x^n in Product_{k=0..n} (1 + 2x + 3x^2 +...+ (k+1)*x^k).at n=6A129261
- T(n,k) = [x^k] Product_{m=1..n} d/dx Sum_{i=1..m} x^i; triangle read by rows, n >= 0, 0 <= k <= A161680(n).at n=48A139769
- 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, 0, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 1)}.at n=8A149325
- a(n) = 289*n - 1.at n=25A158253
- a(n) = 26*n^2 - 1.at n=16A158551
- Eight white kings and one red king on a 3 X 3 chessboard. G.f.: (1 + x)/(1 - 2*x - 11*x^2 - 6*x^3).at n=6A179596
- Number of 11X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 11 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=10A192712