7587
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11280
- Proper Divisor Sum (Aliquot Sum)
- 3693
- 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
- 5040
- Möbius Function
- 0
- Radical
- 843
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- no
- Odd
- yes
Appears in sequences
- Numerators of spin-wave coefficients for cubic lattice.at n=3A003303
- Numbers that are the sum of 7 nonzero 8th powers.at n=12A003385
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=9A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=9A004969
- McKay-Thompson series of class 6b for the Monster group.at n=5A007261
- [ exp(9/22)*n! ].at n=6A030834
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 87.at n=2A031585
- Nearest integer to log(n!)^(1 + log(1 + log(n))).at n=20A062444
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=19A072016
- Sum of the remainders when the n-th triangular number is divided by all smaller triangular numbers > 1.at n=47A072524
- Coefficient of q^1 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(2,3).at n=8A074087
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=9A085775
- Number of Q_5-isomorphism classes of fields of degree n in the algebraic closure of Q_5.at n=19A100985
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 3 for n > 0.at n=16A101013
- Number of permutations of length n which avoid the patterns 1432, 2134, 2314.at n=8A116797
- a(n) = Floor(Fibonacci(n)^(1/Pi)).at n=60A171962
- Places n for which A046132(n) and A006512(n) is a twin prime pair.at n=44A174042
- Number of distinct solutions of sum{i=1..5}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.at n=6A180776
- T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.at n=61A180782
- G.f. satisfies: A(x) = 1 + Sum_{n>=1} x^n*A(x)^n/(1 - x^n*A(x)^n).at n=8A192206