4208
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 8184
- Proper Divisor Sum (Aliquot Sum)
- 3976
- 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
- 2096
- Möbius Function
- 0
- Radical
- 526
- Omega Function (Ω)
- 5
- 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
- 82
- 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
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=51A000232
- Positive even numbers that are not the sum of a pair of twin primes.at n=34A007534
- Coordination sequence T3 for Zeolite Code -PAR.at n=46A009857
- Coordination sequence for CaF2(2), Ca position.at n=29A009926
- exp(arcsin(arctanh(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+84/5!*x^5...at n=7A012134
- sinh(arcsin(arctanh(x)))=x+4/3!*x^3+84/5!*x^5+4208/7!*x^7+386064/9!*x^9...at n=3A012139
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers).at n=23A024588
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=22A025102
- Numbers whose base-8 representation has exactly 5 runs.at n=35A043627
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=22A045035
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=35A045082
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=2A045247
- Starting positions of strings of 2 7's in the decimal expansion of Pi.at n=36A050254
- Numbers n such that x^n + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=43A057484
- Non-palindromic number and its reversal are both multiples of 8.at n=36A062911
- Let r, s, t, u be four permutations of the set { 1, 2, 3, ..., n }; a(n) = minimal value of Sum_{i=1..n} r(i)*s(i)*t(i)*u(i).at n=9A070736
- Number of intersections between a sphere inscribed in a cube and the n X n X n cubes resulting from a cubic lattice subdivision of the enclosing cube.at n=28A085690
- Sum of largest parts (counted with multiplicity) of all partitions of n.at n=19A092321
- Expansion of psi(x^3)^2 / f(-x^2) in powers of x where psi(), f() are Ramanujan theta functions.at n=49A097196
- G.f.: q^(2*n)* Product_{m=0..n-1} (1-q^(2*m+1))^2.at n=54A097198