5243
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6156
- Proper Divisor Sum (Aliquot Sum)
- 913
- 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
- 4452
- Möbius Function
- 0
- Radical
- 749
- Omega Function (Ω)
- 3
- 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
- 54
- 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
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=30A002597
- Coordination sequence T11 for Zeolite Code MFI.at n=46A008163
- Coordination sequence T5 for Zeolite Code NES.at n=46A008209
- n written in fractional base 8/5.at n=35A024647
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=43A026065
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=43A027426
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=36A036463
- Denominators of continued fraction convergents to sqrt(594).at n=6A042139
- Coefficients of a special case of Poisson-Charlier polynomials.at n=33A046716
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=44A061668
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 25.at n=17A068043
- a(n) = floor((Sum_{r=1..n} r)*(Sum_{r=1..n} 1/r)).at n=47A090541
- Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal.at n=3A093182
- Triangle read by rows: T(n,k) are the coefficients of Charlier polynomials: A046716 transposed, for 0 <= k <= n.at n=30A094816
- The first pair of digits sums up to 7. So does the second pair. And the third one and the fourth one, etc., with a(n) < a(n+1). When constructing the sequence, choose the next digits so as to slow the growth of the sequence as much as possible.at n=62A101325
- Numbers n such that z(n) and z(n+1) are both prime, where z(n) = a^d + b^d + c^d + ..., where a*b*c* ... is the prime factorization of n and d is the largest digit of n.at n=7A109280
- Shadow of Pi.at n=26A110621
- Number of partitions of n such that the set of parts and the set of multiplicities of parts are disjoint.at n=45A114639
- a(n) = 2*a(n-1) + a(n-2) + n.at n=9A117585
- Numbers n such that A117731(n) differs from A082687(n).at n=36A125740