12338
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 6862
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5940
- Möbius Function
- -1
- Radical
- 12338
- Omega Function (Ω)
- 3
- 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
- 112
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Denominators of continued fraction convergents to sqrt(311).at n=9A041587
- Numbers n such that 167*2^n-1 is prime.at n=25A050835
- Smallest of 5 consecutive integers divisible respectively by 5 consecutive primes.at n=6A072730
- Number of 6-colorable (i.e., chromatic number <= 6) simple graphs on n nodes.at n=7A076318
- Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k.at n=33A076425
- 0 together with numbers k such that 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A099412
- Number of simple symmetric permutations of degree 2n (or 2n+1).at n=4A198434
- G.f. satisfies: A(x) = 1 + x*A(x)^3 - 2*x^2*A(x)^2 + x^3*A(x).at n=9A200030
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210225; see the Formula section.at n=50A210226
- The growth series for the affine Weyl group F_4.at n=29A266784
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 1", based on the 5-celled von Neumann neighborhood.at n=26A269908
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 275", based on the 5-celled von Neumann neighborhood.at n=25A271093
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 806", based on the 5-celled von Neumann neighborhood.at n=37A273608
- Number of 2Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=12A301885
- Regular triangle where T(n,k) is the number of unlabeled k-uniform hypergraphs spanning n vertices.at n=33A301922
- Regular triangle where T(n,k) is the number of unlabeled k-uniform connected hypergraphs spanning n vertices.at n=33A301924
- (Number of 4 X 4 pandiagonal magic squares with distinct positive entries less than n)/384.at n=26A317252
- Sphenic numbers k such that none of k-2, k-1, k+1 and k+2 is squarefree.at n=36A362561