3472
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
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 7936
- Proper Divisor Sum (Aliquot Sum)
- 4464
- 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
- 1440
- Möbius Function
- 0
- Radical
- 434
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 30
- 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 ways of writing n as a sum of 5 squares.at n=45A000132
- Salié numbers: expansion of cosh x / cos x = Sum_{n >= 0} a(n)*x^(2n)/(2n)!.at n=4A000795
- Expansion of e.g.f. exp(x)/cos(x).at n=8A003701
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=32A007333
- Coordination sequence T6 for Zeolite Code MTW.at n=39A008201
- Coordination sequence for 4-dimensional face-centered cubic orthogonal lattice.at n=8A008529
- Expansion of exp(tan(x)*cosh(x)).at n=7A009247
- Expansion of e.g.f. sech(arcsinh(x)*arcsin(x)) in powers of x^4.at n=2A012609
- sin(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-68/5!*x^5-208/6!*x^6...at n=7A013310
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=29A015616
- Number of triples of different integers from [ 2,n ] with no global factor.at n=29A015618
- Powers of fifth root of 23 rounded up.at n=13A018182
- Expansion of 1/((1-x)(1-2x)(1-6x)(1-11x)).at n=3A021204
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=14A022997
- Numbers k such that Fib(k) == -21 (mod k).at n=31A023168
- 7 times triangular numbers: 7*n*(n+1)/2.at n=31A024966
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 3, with initial terms 3,2.at n=5A025232
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=29A026055
- Coordination sequence T4 for Zeolite Code CFI.at n=39A033602
- Number of ways to place a non-attacking white and black bishop on n X n chessboard.at n=7A035288