12030
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28944
- Proper Divisor Sum (Aliquot Sum)
- 16914
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3200
- Möbius Function
- 1
- Radical
- 12030
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 156
- 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
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=20A023059
- Numbers k such that k^2 and k^3 have the same set of digits.at n=15A029797
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=8A045152
- Number of partitions of n objects of 2 colors with parts size >1.at n=16A060285
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=38A063364
- a(n) = n^3+n for odd n, (n^3+n)*3/2 for even n: Row sums of A093915.at n=19A093917
- Terms in A112039 that are divisible by 3, divided by 3.at n=19A112040
- Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having three real roots, of which at least two are equal.at n=39A155192
- Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,0,0 for x=0,1,2,3,4.at n=7A198181
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,2,1,0,0 for x=0,1,2,3,4.at n=58A198185
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,2,1,0,0 for x=0,1,2,3,4.at n=62A198185
- Partial sums of A014817.at n=46A227841
- a(0) = 1, then a(n) = Sum_{k = floor(log_2(n)) .. n - 1} a(k).at n=16A246878
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 454", based on the 5-celled von Neumann neighborhood.at n=35A272278
- Sum of the even singletons in all partitions of n (n>=0). A singleton in a partition is a part that occurs exactly once.at n=25A276425
- Numbers k such that Bernoulli number B_{k} has denominator 14322.at n=14A295588
- Number of length-n binary strings where some nonempty proper prefix is the reverse of a cyclic shift (conjugate) of a suffix.at n=13A323445
- a(n) is the permanent of a symmetric Toeplitz matrix M(n) whose first row consists of prime(n), prime(n-1), ..., prime(1).at n=4A356493
- The number of stones-and-bones tilings of the (n,2n-3)-benzel.at n=4A364417
- For each cell of a polyomino let b be the number of cells that are in the same row or in the same column (including itself). Cells beyond gaps do not count. a(n) is the sum of the b values of all cells of all free polyominoes with n cells.at n=7A365835