16023
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25080
- Proper Divisor Sum (Aliquot Sum)
- 9057
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9072
- Möbius Function
- 0
- Radical
- 2289
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 53
- 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
- McKay-Thompson series of class 34a for the Monster group.at n=41A058639
- Numbers k such that (-k!! + (k+1)!! - 1)/2 is prime.at n=18A076211
- Triangle, read by rows, where T(n,k) = [(I + D*C)^n](n,k); that is, row n of T = row n of (I + D*C)^n for n>=0 where C denotes Pascal's triangle, I the identity matrix and D a matrix where D(n+1,n)=1 and zeros elsewhere.at n=29A134090
- Column 1 of triangle A134090.at n=6A134091
- G.f.: A(x) = F(x*G(x)^2) where F(x) = G(x/F(x)) = 1 + x*F(x)^3 is the g.f. of A001764 and G(x) = F(x*G(x)) = 1 + x*G(x)^4 is the g.f. of A002293.at n=6A153398
- a(n) is the coefficient of x^n in the (n+2)-th self-composition of g.f. A(x) for n>=1, with a(1)=1.at n=5A153849
- Number of isomorphism classes of racks of order n.at n=8A181770
- a(n) = (prime(n) - 1)*(prime(n+1) - 1)/2 + 3.at n=40A201498
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x<3*y*z.at n=12A211917
- Semiperimeters s of primitive Pythagorean triples (a, b, c) where a, b, c and s are not squarefree.at n=32A237620
- Remainder when sum of squares of the first n primes is divided by n-th square pyramidal number.at n=39A282282
- Number of partitions of n with up to seven distinct kinds of 1.at n=23A320694
- a(n) is the smallest number that starts a run of exactly n consecutive integers that are neither primes nor semiprimes.at n=9A343729
- Numbers that can be represented in more than one way as p^2+p*q+q^2 with p and q primes, p<=q.at n=14A349987
- Total number of modes in all partitions of n.at n=34A372542