8448
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 24528
- Proper Divisor Sum (Aliquot Sum)
- 16080
- 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
- 2560
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 10
- 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
- 34
- 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 paraffins.at n=31A005997
- Max_{k=0..n} d(C(n,k)) - d(C(n,[ n/2 ])), where d() = number of divisors.at n=53A020740
- Convolution of odd numbers and A001950.at n=20A023659
- Palindromes of the form k*(k+8).at n=4A028568
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=33A028604
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=18A028696
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=34A029447
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 5 (most significant digit on left).at n=11A029474
- 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 45.at n=27A031543
- Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4).at n=9A033693
- Multiplicity of highest weight (or singular) vectors associated with character chi_153 of Monster module.at n=39A034541
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=32A035008
- Cubeful (i.e., not cubefree) palindromes.at n=27A035133
- One half of deca-factorial numbers.at n=3A035265
- Product of the lengths of the cycle types of the permutation created by duality and reversal on the partitions of n.at n=12A036046
- Base 10 palindromes that start with 8.at n=16A043043
- Palindromic and divisible by 4.at n=42A045639
- Palindromes that are divisible by 6.at n=27A045641
- Palindromic and divisible by 8.at n=21A045643
- Largest palindromic substring in n! without an initial zero.at n=44A046276