13773
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18368
- Proper Divisor Sum (Aliquot Sum)
- 4595
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9180
- Möbius Function
- 1
- Radical
- 13773
- 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
- 58
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=19A020437
- 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 78.at n=30A031576
- Number of partitions of n such that the least part occurs exactly five times.at n=48A097093
- Partial sums of A000960.at n=36A099074
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=30A117720
- 1+5*n+7*n^2.at n=43A168235
- Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n.at n=23A208972
- Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 3 array.at n=7A220148
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.at n=52A220153
- Integers k such that 1^2 + 3^2 + 5^2 + ... + (2*k-1)^2 = x^3 + y^3 has a solution in positive integers x and y.at n=6A270005
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 785", based on the 5-celled von Neumann neighborhood.at n=24A273559
- Expansion of Product_{k>0} (1 + k*(k+1)/2 * x^(k*(k+1)/2)).at n=49A319256
- Number of sortable normal multiset partitions of weight n.at n=8A326212
- Least k > 1 such that k^n is a twin rank (cf. A002822: 6*k^n +- 1 are twin primes).at n=36A326230
- Numbers k such that usigma(uphi(k)) = uphi(usigma(k)), where usigma is the sum of unitary divisors function (A034448) and uphi is the unitary totient function (A047994).at n=35A329730
- Number of distinct sums i^3 + j^3 + k^3 for 1<=i<=j<=k<=n.at n=43A374713