5493
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7328
- Proper Divisor Sum (Aliquot Sum)
- 1835
- 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
- 3660
- Möbius Function
- 1
- Radical
- 5493
- 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
- 129
- 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
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=48A001276
- Number of numbers of complexity n, i.e., that can be built from n ones using + and *, and require at least that many ones.at n=29A005421
- Coordination sequence T3 for Zeolite Code DAC.at n=46A008069
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=17A010009
- 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 48.at n=27A031546
- Numbers whose set of base-11 digits is {1,4}.at n=25A032823
- a(n) = T(2n-1,n), array T given by A048225.at n=39A048234
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=30A050963
- Numbers n such that x^n + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=44A057484
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=25A063052
- One half of the number of non-self-conjugate balanced partitions.at n=50A067772
- Values of n for which A095777(n) is 16 (those terms which are expressible in decimal digits for bases 2 through 17, but not for base 18).at n=12A095785
- Number of Q_2-isomorphism classes of fields of degree n in the algebraic closure of Q_2.at n=11A100983
- Expansion of 1/sqrt(1 -2*x -3*x^2 -4*x^3 +4*x^4).at n=9A108488
- Row sums of triangle A118032, where the matrix square of A118032 forms a diagonal bisection of A118032.at n=12A118036
- a(n) = 3^(n-1) - ceiling(n^n/n!).at n=8A127634
- Total sum of squares of number of distinct parts in all partitions of n.at n=18A135348
- Partial sums of A024785.at n=31A173060
- Partial sums of A038772.at n=45A176660
- Number of 3X2 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 3 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=37A192701