10164
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 29792
- Proper Divisor Sum (Aliquot Sum)
- 19628
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 6
- 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
- 34
- 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
- Aliquot sequence starting at 276.at n=11A008892
- a(n) = (n+2)*(n+1)*(n^2 + 7*n - 12)/24.at n=19A014309
- Number of quaternary codes of length 3 with n words.at n=7A034234
- Number of quaternary codes (not necessarily linear) of length n with 7 words.at n=2A034244
- Number of labeled rooted compound windmills (mobiles) with n nodes.at n=5A038037
- a(n) = n^3 - n^2.at n=22A045991
- Numbers k such that sopfr(k) = sopfr(k + sopfr(k)).at n=16A050780
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=41A059518
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=25A060665
- a(n) = 21*n^2.at n=22A064762
- Numbers k such that sopfr(k)=tau(k).at n=21A078511
- a(0)=1; a(n) = sigma_1(n) + sigma_2(n) + sigma_3(n).at n=21A092347
- Numerator of sum of all elements M(i,j,k) = i*j/k, (i,j,k = 1..n). a(n) = Numerator[Sum[Sum[Sum[i*j/k,{i,1,n}],{j,1,n}],{k,1,n}]].at n=6A099865
- Binomial transform of A000796.at n=11A110810
- a(n) = binomial(n,3) - binomial(floor(n/2),3) - binomial(ceiling(n/2),3).at n=44A111384
- Positive integers i for which A112049(i) == 7.at n=24A112067
- a(n) = n*(n+1)^2.at n=20A114364
- Number of 2 X 2 symmetric matrices over Z(n) having nonzero determinant.at n=21A115077
- Smallest area of any triangle with integer sides a <= b <= c and inradius n.at n=43A120572
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149352