4956
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
- 24
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 8484
- 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
- 1392
- Möbius Function
- 0
- Radical
- 2478
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 134
- 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 loops of length 4n on square grid that turn at each step and return to start in original direction.at n=7A000644
- Expansion of 1/((1+x)*(1-x)^6).at n=13A001753
- Numbers that are the sum of 7 positive 6th powers.at n=44A003363
- Coordination sequence T5 for Zeolite Code RSN.at n=46A009889
- Numbers k such that 63*2^k+1 is prime.at n=37A032381
- Number of 2n-bead balanced binary strings, rotationally equivalent to reverse.at n=10A045653
- Row sums of triangle A049353.at n=5A049378
- Number of staircase polygons of perimeter 2n with any number of (staircase polygon) holes on square lattice (not allowing rotations).at n=8A057413
- Numbers n such that n and its reversal are both multiples of 14.at n=25A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=16A062913
- (x,y) = (a(n),a(n+1)) are the solutions of (t(x)+t(y))/(1+xy) = t(3) = 6, where t(n) denotes the n-th triangular number t(n) = n(n+1)/2.at n=3A065929
- a(n) = sum of modular offsets: mod[n+c,b]-(mod[n,b]+c) for c<=b<=n.at n=35A066809
- Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k.at n=9A076425
- Fourth diagonal (m=3) of triangle A084938; a(n) = A084938(n+3,n) = (n^3 + 9*n^2 + 26*n)/6.at n=28A092286
- Expansion of 1 / ((1+x)*(1-2x)*(1-3x)*(1-4x)).at n=5A099110
- Location of restriction sites for the enzyme LweI in PhiX174 DNA.at n=11A108875
- Triangle T(n, m) = T(n-1, m-1) + (4m-3)*T(n-1, m) read by rows 1<=m<=n.at n=42A111578
- a(n) = A006967(n)/2.at n=12A112362
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + k^13 + k^15 + k^17 + k^19 + k^21 + k^23 + k^25 + k^27 + k^29 + k^31 + k^33 + k^35 + k^37 + k^39 + k^41 + k^43 is prime.at n=42A124200
- Number of labeled n-node connected graphs with at most one cycle.at n=6A129271