4524
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 7236
- 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
- 2262
- 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
- 38
- 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
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=29A003600
- a(n) = round(1000*log_2(n)).at n=22A004266
- a(n) = ceiling(1000*log_2(n)).at n=22A004267
- Number of ways of arranging 2n+1 nonattacking queens on a 2n+1 X 2n+1 toroidal board.at n=6A007705
- Coordination sequence T5 for Zeolite Code DDR.at n=42A008075
- Coordination sequence T1 for Zeolite Code MTW.at n=44A008196
- Fibonacci sequence beginning 0, 12.at n=14A022346
- Expansion of Product_{m>=1} (1+q^m)^29.at n=3A022593
- a(n) = T(3n,n), where T is the array defined in A026082.at n=5A026090
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).at n=18A030434
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n - 3)*(2*n^2 - 3*n + 4).at n=16A030441
- Numbers whose set of base-11 digits is {3,4}.at n=20A032835
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=39A049450
- Number of ways of placing n nonattacking queens on an n X n toroidal chessboard.at n=12A051906
- Coefficients of the '6th-order' mock theta function rho(q).at n=40A053270
- Coefficients of the '6th-order' mock theta function lambda(q).at n=40A053272
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=19A063366
- a(n) = phi(Sum_{i=1..n} prime(i)).at n=47A075882
- (p^2 - 1)/12 where p > 3 runs through the primes.at n=48A081115
- a(n) = floor( sum(k=0, infinity, k^n/(k!)^2 ) ); related to generalized Bell numbers.at n=10A086880