10396
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19152
- Proper Divisor Sum (Aliquot Sum)
- 8756
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4928
- Möbius Function
- 0
- Radical
- 5198
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=23A002413
- Number of bipartite partitions.at n=15A002763
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=33A014818
- Number of triples of different integers from [ 2,n ] with no global factor.at n=42A015618
- Numbers k such that k | 7^k + 7.at n=24A015893
- Powers of fifth root of 18 rounded down.at n=16A018165
- Powers of fifth root of 18 rounded to nearest integer.at n=16A018166
- Numbers whose set of base-15 digits is {1,3}.at n=24A032922
- Number of nonisomorphic unrooted unicursal planar maps with n edges and no vertices of valency 1 (unicursal means that exactly two vertices are of odd valency; there is an Eulerian path).at n=7A069732
- Numbers n such that n and the n-th prime have the same digits.at n=34A074350
- a(n) = A077739(n)/n.at n=19A077740
- a(n) = A078213(n)/n.at n=19A078214
- a(n) = (2*n^3 - n^2 - n + 2)/2.at n=22A081441
- Triangle read by rows: T(n,0)=1, T(n,n)=(2*n-1)!!+1, T(n,k) = 2*(n-k) * T(n-1,k-1) + 2*(k+1)*T(n-1,k).at n=27A099755
- Structured disdyakis dodecahedral numbers (vertex structure 9).at n=11A100161
- Number of dissections of a convex n-gon by nonintersecting diagonals into an odd number of regions.at n=7A100300
- Integers that can be expressed as the sum of 2 double factorials.at n=53A116965
- a(n) = n*a(n-2) + a(n-5) for n >= 5 and with a(0)=0, a(1)=1, a(2)=0, a(3)=3, a(4)=0.at n=11A130637
- Triangle t(n,m)=A039757(n,m)+A039757(n,n-m) read by rows.at n=21A155719
- Triangle t(n,m)=A039757(n,m)+A039757(n,n-m) read by rows.at n=27A155719