4600
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 6560
- 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
- 1760
- Möbius Function
- 0
- Radical
- 230
- 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
- Expansion of 1/theta_4(q)^2 in powers of q.at n=10A001934
- Expansion of 1/theta_3(q)^2 in powers of q.at n=10A004403
- Theta series of 23-dimensional shorter Leech lattice.at n=3A004537
- Numbers n such that 8*3^n + 1 is prime.at n=16A005538
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=46A006918
- Number of noncommutative SL(2,C)-invariants of degree n in 5 variables.at n=9A007043
- a(n) = 2*binomial(n,3).at n=25A007290
- 10-gonal (or decagonal) pyramidal numbers: a(n) = n*(n + 1)*(8*n - 5)/6.at n=15A007585
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=47A008013
- Aliquot sequence starting at 180.at n=40A008891
- exp(arctan(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+25/5!*x^5...at n=8A012985
- cosh(arctan(x)+arcsin(x))=1+4/2!*x^2+8/4!*x^4+310/6!*x^6+4600/8!*x^8...at n=4A012994
- Multiplicity of K_3 in K_n.at n=50A014557
- Coordination sequence T4 for Zeolite Code CGF.at n=47A019454
- Expansion of 1/((1-4*x)*(1-6*x)*(1-12*x)).at n=3A019490
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t(n)=2*n+1 (odd numbers).at n=28A023865
- Theta series of A*_24 lattice.at n=33A023936
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=39A026036
- Numbers k such that the string 0,0 occurs in the base 10 representation of k but not of k-1.at n=45A044332
- Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reverse, inequivalent to complement and reversed complement.at n=10A045667