12328
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24480
- Proper Divisor Sum (Aliquot Sum)
- 12152
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5808
- Möbius Function
- 0
- Radical
- 3082
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- yes
- Odd
- no
Appears in sequences
- Self-convolution of composite numbers.at n=27A023648
- Number of 4-balanced strings of length n: let d(S)= #(1)'s in S - #(0)'s, then S is k-balanced if every substring T has -k<=d(T)<=k; here k=4.at n=15A027559
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=19A031781
- Numbers k whose decimal representation, read as a base-12 value and divided by k, yields an integer.at n=14A032555
- Numbers k such that the product of the digits of k is equal to the sum of the prime factors of k, counted with multiplicity.at n=28A065774
- Least k for the Theodorus spiral to complete n revolutions.at n=34A072895
- Total number of palindromic primes in base 2 below 2^n.at n=32A117772
- Total number of palindromic primes in base 2 below 2^n.at n=33A117772
- 8 times octagonal numbers: 8*n*(3*n-2).at n=23A153808
- Number of ways to place zero or more nonadjacent 1,0 2,0 3,1 3,2 3,3 4,1 5,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155340
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and 2w^2>x^2+y^2.at n=15A211632
- Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=5A235294
- Number of (n+1) X (6+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=3A235296
- T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=39A235301
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A237780
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=0A237782
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=3A237785
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=5A237785
- Numbers k such that (52*10^k - 1)/3 is prime.at n=19A282508
- Number of Dyck paths of semilength n such that the number of peaks is weakly increasing from lower to higher levels and no positive level is peakless.at n=12A288146