10956
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28224
- Proper Divisor Sum (Aliquot Sum)
- 17268
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3280
- Möbius Function
- 0
- Radical
- 5478
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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 walks on cubic lattice.at n=8A005571
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=40A015628
- Triangle read by rows: T(n,k) is number of peakless Motzkin paths of length n and having k UHH...HD's starting above level 0, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).at n=39A098073
- Sequence A106456 interpreted as binary numbers and converted to decimal.at n=45A106455
- a(n) = (n+1)*(n+2)*(n+3)*(n+4)*(7*n^2 + 20*n + 15)/360.at n=7A108683
- Row 6 of table A111528.at n=5A111533
- Number of essentially different seating arrangements for n couples around a circular table with 2n seats avoiding spouses being neighbors and avoiding clusters of 3 persons with equal gender.at n=4A114939
- Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n.at n=23A121346
- Expansion of f(q)*f(q^7)/(f(-q)*f(-q^7)) in powers of q where f() is a Ramanujan theta function.at n=34A123862
- Indices n such that A134204(n) < n.at n=16A133242
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210861; see the Formula section of A210861.at n=41A210860
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4<x^4+y^4.at n=25A211652
- Convolution of (1,-1,2,-2,3,-3,...) and A000045 (Fibonacci numbers).at n=20A213043
- Antidiagonal sums of the convolution array A213773.at n=10A213818
- Triangle read by rows of operator ordering coefficients corresponding to the Chebyshev polynomials T_n(x).at n=24A225696
- Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=1A232132
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=7A232137
- Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.at n=2A232139
- G.f. A(x) satisfies: A(x) = x + A( x^2 + x*A(x)^2 ).at n=12A271867
- Number of sets of exactly four positive integers <= n having a square element sum.at n=45A281864