2892
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6776
- Proper Divisor Sum (Aliquot Sum)
- 3884
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 960
- Möbius Function
- 0
- Radical
- 1446
- 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
- 48
- 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 n-dimensional cuboids with integral edge lengths for which volume = surface area.at n=3A003167
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=17A005901
- Number of asymmetric rooted connected graphs where every block is a complete graph.at n=11A007561
- Coordination sequence T2 for Zeolite Code AST.at n=38A008037
- Coordination sequence T2 for Zeolite Code EDI.at n=38A008085
- Coordination sequence for diamond.at n=34A008253
- Coordination sequence T4 for Zeolite Code -CHI.at n=34A009849
- Coordination sequence for CaF2(2), Ca position.at n=34A009926
- Coordination sequence T1 for Zeolite Code SAO.at n=42A019571
- Number of partitions of 1/n into 5 reciprocals of positive integers.at n=1A020328
- a(n) = Sum_{1 <= i < j <= n} (j-i)^3.at n=8A024166
- a(n) = T(2n,n-1), where T is the array defined in A025564.at n=5A025573
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 26.at n=36A031524
- Numbers whose base-15 expansion has no run of digits with length < 2.at n=25A033028
- Sort then Add, a(1)=15.at n=11A033898
- Sort then Add, a(1)=21.at n=10A033901
- Expansion of 1/((1-x)*(1-x^2))^4.at n=10A038164
- Numerators of continued fraction convergents to sqrt(409).at n=5A041776
- Numbers k such that the string 6,3 occurs in the base 9 representation of k but not of k-1.at n=39A044308
- Numbers n such that string 9,2 occurs in the base 10 representation of n but not of n-1.at n=30A044424