5331
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7112
- Proper Divisor Sum (Aliquot Sum)
- 1781
- 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
- 3552
- Möbius Function
- 1
- Radical
- 5331
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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
- Pentagonal numbers written backwards.at n=30A004163
- Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.at n=20A015639
- Prefix primes in base 8 (written in base 8).at n=37A024768
- 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 73.at n=0A031571
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 73.at n=0A031751
- Positive numbers having the same set of digits in base 5 and base 8.at n=42A037431
- a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=39A046254
- p^2 + 2 where p is a prime.at n=20A061725
- Sum of n-th row of triangle of primes: 2; 2 3 2; 2 3 5 3 2; 2 3 5 7 5 3 2; ...; where n-th row contains 2n+1 terms.at n=37A061802
- Sum of the aliquot divisors of n-th Fibonacci number.at n=19A074283
- Positions of A080313 in A014486.at n=13A080312
- Repeatedly subtract largest prime from n until either a prime or 1 remains.at n=56A093712
- Semiprimes (A001358) whose digit reversal is a pentagonal number (A000326).at n=13A115708
- a(n) = 3^n modulo Fibonacci(n).at n=20A128162
- an=n-th smallest integer of the form m=p1*p2 where pi are odd primes such that d+2m/d are all primes for d dividing 2m.at n=36A128279
- Numbers k that divide 3^((k-1)/2) - 2^((k-1)/2) - 1.at n=39A130061
- Terms in A061725 that are of form 3*prime.at n=8A133395
- 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, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 0), (1, 1, 1)}.at n=7A149704
- Logarithm derivative of the g.f. of A159311 such that a(n) = (n-1)*A159311(n) + 1.at n=5A159312
- Sums of prime points found in four grids in each corner of a square.at n=16A161190