2176
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4590
- Proper Divisor Sum (Aliquot Sum)
- 2414
- 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
- 1024
- Möbius Function
- 0
- Radical
- 34
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
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
- 19
- 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
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=16A002411
- Number of prime knots with n crossings.at n=11A002863
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=29A005891
- Coordination sequence T1 for Zeolite Code FAU.at n=39A008105
- Coordination sequence T3 for Zeolite Code THO.at n=33A008240
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=34A008317
- Expansion of cosh(sin(x))/cos(x).at n=4A009144
- Expansion of exp(sin(x))/cos(x).at n=8A009207
- Expansion of e.g.f. exp(x + tanh(x)).at n=8A009285
- Expansion of e.g.f.: tan(x)*(1+x).at n=8A009725
- Expansion of e.g.f. tan(x)*tan(tanh(x)), even powers only.at n=4A009751
- Expansion of e.g.f. tan(x)*x (even powers only).at n=4A009752
- Coordination sequence T5 for Zeolite Code VET.at n=29A009906
- Coordination sequence for MgZn2, Position Zn1.at n=12A009937
- Coordination sequence for sigma-CrFe, Position Xf.at n=12A009958
- Terms in perturbation solution of a heat transfer problem.at n=10A013704
- Even pentagonal pyramidal numbers.at n=12A015224
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=38A015707
- Number of partitions of n into distinct parts, none being 6.at n=49A015753
- Expansion of 1/((1-6*x)*(1-10*x)).at n=3A016173