10206
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 26232
- Proper Divisor Sum (Aliquot Sum)
- 16026
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2916
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- Number of equivalence classes of 3-valued Post functions of n variables under action of symmetric group S_n.at n=1A001321
- Number of equivalence classes of n-valued Post functions of 2 variables under action of symmetric group S_2.at n=1A001322
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=27A002411
- a(n) = 3^n*Catalan(n).at n=5A005159
- Number of simplices in barycentric subdivision of n-simplex.at n=3A005462
- A traffic light problem: expansion of 2/(1 - 3*x)^3.at n=5A006043
- Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.at n=23A006128
- Triangle of coefficients in expansion of (1+3*x)^n.at n=49A013610
- Triangle of coefficients in expansion of (2+3x)^n.at n=34A013620
- Triangle of coefficients in expansion of (3+7x)^n.at n=22A013624
- Numbers k such that k divides 2^(k+1) - 2.at n=33A014741
- Even pentagonal pyramidal numbers.at n=20A015224
- Positive integers n such that n | (2^n + n/2 - 1).at n=31A015942
- Cube of lower triangular normalized binomial matrix.at n=50A027465
- a(n) = 4^(n-1) - 3*3^(n-1) + 3*2^(n-1) - 1 (essentially Stirling numbers of second kind).at n=7A028244
- Triangular array a(n,k) = (1/k)*Sum_{i=0..k} (-1)^(k-i)*binomial(k,i)*i^n; n >= 1, 1 <= k <= n, read by rows.at n=31A028246
- Denominator of Bernoulli(2n,1/3).at n=3A033471
- Triangle of coefficients of certain polynomials (exponents in decreasing order).at n=41A033842
- Expansion of 1/(1-3*x)^6; 6-fold convolution of A000244 (powers of 3).at n=4A036219
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*2^j.at n=29A038220