4824
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13260
- Proper Divisor Sum (Aliquot Sum)
- 8436
- 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
- 1584
- Möbius Function
- 0
- Radical
- 402
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 72
- 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 walks on cubic lattice.at n=23A005570
- Number of 2-diregular connected digraphs with n nodes.at n=6A005642
- Number of partial orders on {1,2,...,n} that are contained in the usual linear order (i.e., xRy => x<y).at n=6A006455
- Oscillates under partition transform.at n=47A007213
- Coordination sequence T3 for Zeolite Code MEP.at n=41A008159
- Coordination sequence T3 for Zeolite Code MFI.at n=44A008166
- Coordination sequence T4 for Zeolite Code MTT.at n=43A008192
- Number of partitions of n into 9 unordered relatively prime parts.at n=33A023029
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=27A026044
- Sequence satisfies T^2(a)=a, where T is defined below.at n=47A027596
- Triangulations of 4-dimensional cyclic polytopes.at n=5A028441
- 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 17.at n=32A031515
- Coordination sequence T1 for Zeolite Code STT.at n=46A038428
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=40A050772
- Number of labeled pure 2-complexes on n nodes (0-simplexes) with 5 2-simplexes and 10 1-simplexes.at n=1A054557
- Card-matching numbers (Dinner-Diner matching numbers).at n=40A059060
- Numbers which are the sum of their proper divisors containing the digit 0.at n=20A059461
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=30A061428
- Multiples of 9 having only even digits.at n=41A061831
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=30A063373