4412
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7728
- Proper Divisor Sum (Aliquot Sum)
- 3316
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2204
- Möbius Function
- 0
- Radical
- 2206
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=45A000954
- 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=21A005901
- Coordination sequence T3 for Zeolite Code LOV.at n=44A008136
- Coordination sequence for diamond.at n=42A008253
- Coordination sequence for CaF2(2), Ca position.at n=42A009926
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=22A020391
- Every suffix prime and no 0 digits in base 5 (written in base 5).at n=11A024780
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=23A025102
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=25A025193
- Product of n with 666 is palindromic.at n=39A030094
- Multiplicity of highest weight (or singular) vectors associated with character chi_3 of Monster module.at n=48A034391
- Numerators of continued fraction convergents to sqrt(158).at n=6A041290
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=26A045228
- Coordination sequence T1 for Zeolite Code MSO.at n=46A047963
- a(n) = T(0,n)+T(1,n-1)+...+T(n,0), array T given by A048505.at n=7A048514
- Conjecturally largest even integer which is the sum of two primes in at most n ways.at n=45A056636
- Composite n such that phi(n+2) = phi(n)+2.at n=45A056774
- Numbers k such that 3*2^k - 7 is prime.at n=30A059747
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=43A061157
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,1).at n=13A074083