8424
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
- 40
- Divisor Sum
- 25410
- Proper Divisor Sum (Aliquot Sum)
- 16986
- 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
- 2592
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 8
- 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
- 83
- 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 ways of writing n as a sum of 10 squares.at n=5A000144
- Number of different ways one can attack all squares on an n X n chessboard with the smallest number of non-attacking queens needed.at n=18A002568
- Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.at n=23A005564
- Theta series of {D_10}* lattice.at n=10A008426
- Expansion of e.g.f.: cos(exp(x)-sec(x))=1-1/2!*x^2-3/4!*x^4+20/5!*x^5+3/6!*x^6...at n=9A013332
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T12 atom.at n=12A019167
- (d(n)-r(n))/5, where d = A026046 and r is the periodic sequence with fundamental period (1,0,4,0,0).at n=46A026048
- Character of extremal vertex operator algebra of rank 9.at n=5A028527
- Dirichlet convolution of b_n=2^(n-1) with sigma(n).at n=13A034737
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=39A038637
- Numbers having four 0's in base 6.at n=22A043372
- Numbers whose base-7 representation contains exactly four 3's.at n=20A043408
- The third of the three sequences associated with the polynomial x^3 - 2.at n=13A052103
- Numbers k such that pi(k) divides k.at n=30A057809
- Consider the sequence {b(m)} of nonprimes; sequence gives values of m where gcd{m, b(m)} increases.at n=30A058011
- Numbers k such that sigma (x) = k has exactly 12 solutions.at n=11A060676
- 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=39A061428
- a(n) = 12*n*(n-1).at n=27A064200
- 9 times octagonal numbers: a(n) = 9*n*(3*n-2).at n=18A064201
- Barriers for bigomega(n): numbers n such that, for all m < n, m + bigomega(m) <= n.at n=40A068597