3432
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6648
- 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
- 858
- 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
- yes
- 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
- 105
- 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
- a(n) = 3*(2*n)!/((n+2)!*(n-1)!).at n=8A000245
- Coefficient of x^5 in expansion of (1 + x + x^2)^n.at n=9A000574
- a(n) = binomial coefficient C(n,7).at n=7A000580
- Central binomial coefficients: binomial(2*n,n) = (2*n)!/(n!)^2.at n=7A000984
- a(n) = binomial(n, floor(n/2)).at n=14A001405
- Coefficients of Legendre polynomials.at n=6A002461
- Numbers that are the sum of 4 positive 5th powers.at n=40A003349
- Degrees of irreducible representations of alternating group A_13.at n=23A003868
- Degrees of irreducible representations of alternating group A_13.at n=22A003868
- Degrees of irreducible representations of alternating group A_13.at n=24A003868
- Degrees of irreducible representations of symmetric group S_13.at n=44A003877
- Degrees of irreducible representations of symmetric group S_13.at n=43A003877
- Degrees of irreducible representations of symmetric group S_13.at n=42A003877
- Degrees of irreducible representations of symmetric group S_13.at n=45A003877
- Degrees of irreducible representations of symmetric group S_13.at n=41A003877
- Degrees of irreducible representations of symmetric group S_13.at n=46A003877
- Degrees of irreducible representations of Suzuki group Suz.at n=5A003902
- Number of polynomials of degree n over GF(2) in which the degrees of all irreducible factors are distinct.at n=13A007839
- Coordination sequence T1 for Zeolite Code JBW.at n=39A008121
- Expansion of (1-x^8) / (1-x)^8.at n=7A008490