12194
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
- 16
- Divisor Sum
- 22848
- Proper Divisor Sum (Aliquot Sum)
- 10654
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 1
- Radical
- 12194
- 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
- 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
- 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
- Sum of cubes of primes = 3 mod 4 dividing n.at n=68A005084
- a(n) = floor((n^3)/2).at n=29A036487
- Numbers of the form p^3 + q^3, p, q primes.at n=36A086119
- Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k horizontal steps on the x-axis (0<=k<=n). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1.at n=36A114709
- Number of hill-free Schroeder paths of length 2n that have no horizontal steps on the x-axis.at n=8A114710
- n times the n-th n-gonal number.at n=13A117665
- Sums of two distinct prime cubes.at n=29A120398
- Sums of 2 cubes of distinct odd primes.at n=21A137632
- Number of strings of numbers x(i=1..7) in 0..n with sum i^2*x(i)^3 equal to 49*n^3.at n=28A184322
- Floor(1/{(8+n^4)^(1/4)}), where {}=fractional part.at n=28A184632
- a(n) = n^6 - a(n-1), a(0)=1.at n=5A187620
- Number of n-bead necklaces labeled with numbers -1..1 allowing reversal, with sum zero and first and second differences in -1..1.at n=24A208963
- Principal diagonal of the convolution array A213828.at n=12A213829
- Triangle T(n,k) of orders of degree-n irreducible polynomials over GF(29) listed in ascending order.at n=48A218341
- Number of idempotent 3X3 0..n matrices.at n=29A222822
- Number of nondecreasing -3..3 vectors of length n whose dot product with some nondecreasing -3..3 vector equals n.at n=10A226406
- Smallest even number k such that lpf(k-3) = prime(n) while lpf(k-1) > lpf(k-3), where lpf=least prime factor (A020639).at n=19A242490
- a(n) = 4*n^3 - 6*n^2 + 3*n - 1.at n=14A268201
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 99", based on the 5-celled von Neumann neighborhood.at n=25A270158
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 326", based on the 5-celled von Neumann neighborhood.at n=38A271261