4704
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 9660
- 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
- 1344
- Möbius Function
- 0
- Radical
- 42
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 121
- 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 normalized Latin squares with second row even.at n=5A001070
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=17A001936
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=29A002706
- Coordination sequence for NiAs(1), As position.at n=28A009943
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=50A011907
- Triangle of coefficients in expansion of (4+7x)^n.at n=12A013625
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=39A015708
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=21A028660
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=15A028696
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^4.at n=11A028697
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=27A032444
- Numbers that, when expressed in base 5 and then interpreted in base 10, yield a multiple of the original number.at n=37A032543
- a(n) = n^3 * Product_{p|n, p prime} (1 + 1/p).at n=13A033196
- a(n) = 6*n^2.at n=28A033581
- a(n) = 4*n*(2*n + 1).at n=24A033586
- Dirichlet convolution of squares with themselves.at n=27A034714
- Schoenheim bound L_1(n,4,3).at n=45A036831
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) < cn(2,5) = cn(4,5).at n=72A036867
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*4^j.at n=12A038270
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=16A045946