4848
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
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 12648
- Proper Divisor Sum (Aliquot Sum)
- 7800
- 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
- 1600
- Möbius Function
- 0
- Radical
- 606
- 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
- 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
- Symmetrical dissections of an n-gon.at n=15A000063
- Expansion of (sqrt(1-4x^2) - sqrt(1-4x))/(2x).at n=9A000912
- Number of symmetries in planted (1,4) trees on 3n-1 vertices.at n=5A003613
- Coordination sequence T2 for Zeolite Code MTW.at n=45A008197
- Coordination sequence T2 for Zeolite Code YUG.at n=45A008248
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=23A014302
- a(n) = n*(2*n+5).at n=48A033537
- Dirichlet convolution of Moebius function mu(n) (A008683) with Catalan numbers (A000108).at n=9A034742
- Coordination sequence T3 for Zeolite Code STT.at n=46A038426
- For each prime p take the sum of nonprimes < p.at n=29A045717
- All differences C(j)-C(i), j>i, of Catalan numbers A000108.at n=33A047075
- Numbers whose consecutive digits differ by 4.at n=42A048406
- Number of squarefree quaternary words of length n.at n=8A051041
- McKay-Thompson series of class 48A for Monster.at n=50A058691
- Triangle read by rows: row n lists number of ordered partitions into k parts of partitions of n.at n=60A060642
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).at n=37A063342
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=22A063346
- Number of length 3 walks on an n-dimensional hypercubic lattice starting at the origin and staying in the nonnegative part.at n=16A064043
- The least k such that precisely n near-repunit primes can be formed from (10^k-1)/9 by changing one digit from 1 to 0.at n=9A065083
- Multiples of 24 whose digits also sum to 24.at n=10A066270