4398
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8808
- Proper Divisor Sum (Aliquot Sum)
- 4410
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1464
- Möbius Function
- -1
- Radical
- 4398
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 sum-free subsets of {1, ..., n}.at n=18A007865
- Coordination sequence T4 for Zeolite Code MFS.at n=41A008176
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=17A031542
- Multiplicity of highest weight (or singular) vectors associated with character chi_18 of Monster module.at n=35A034406
- Numbers whose base-4 representation has exactly 7 runs.at n=17A043598
- Numbers k such that number of runs in the base 4 representation of k is congruent to 1 mod 6.at n=35A043838
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=17A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=17A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=17A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=17A043874
- Triangle: Number of asymmetric semigroups of order n with k idempotents.at n=15A058113
- Number of asymmetric semigroups of order n with 1 idempotent.at n=5A058114
- Write the numbers from 1 to n^2 in a spiraling square; a(n) is the total of the sums of the two diagonals.at n=15A059924
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=14A063364
- Number of partitions of n into odious numbers (A000069).at n=46A067590
- Numbers n such that n-th cyclotomic polynomial evaluated at phi(n) is a prime number.at n=29A070525
- Number of fault-free tilings of a 4 X 2n rectangle with L tetrominoes.at n=10A084481
- Solution to the non-squashing boxes problem (version 2).at n=22A089055
- Molien series for symmetrized weight enumerators of self-dual codes over GF(4) + GF(4)u with u^2 = 0.at n=31A092549
- Number of composites > mean composite (=A092802(n)) below 10^n.at n=3A092853