3456
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 10200
- Proper Divisor Sum (Aliquot Sum)
- 6744
- 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
- 1152
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 10
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 118
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=36A000423
- Jordan-Polya numbers: products of factorial numbers A000142.at n=43A001013
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=17A002625
- Denominators of coefficients for repeated integration.at n=6A002689
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=53A003586
- Number of spanning trees in K_4 X P_n.at n=1A003773
- Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=15A005934
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=22A005996
- a(n) = n^(n-2)*(n+2)^(n-1).at n=3A006236
- Least number which is side of n Pythagorean triples.at n=44A006593
- Theta series of laminated lattice LAMBDA_12^{min}.at n=3A006912
- MU-numbers: next term is uniquely the product of 2 earlier terms.at n=20A007335
- Numbers k such that phi(k) divides k.at n=46A007694
- Coordination sequence T4 for Zeolite Code MTT.at n=36A008192
- Coordination sequence for NiAs(1), As position.at n=24A009943
- Floor-factorial numbers: a(n) = Product_{k=1..n} floor(n/k).at n=12A010786
- tan(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7+3456/9!*x^9...at n=3A013443
- a(n) = 2^n*n!*(2*n+1).at n=4A014481
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=45A015707
- Denominator of sum of -4th powers of divisors of n.at n=11A017672