2576
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 5952
- Proper Divisor Sum (Aliquot Sum)
- 3376
- 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
- 1056
- Möbius Function
- 0
- Radical
- 322
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 102
- Smith Number
- yes
- 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 Product (1 - x^k)^8 in powers of x.at n=46A000731
- Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.at n=0A001294
- Weight distribution of binary Golay code of length 24.at n=3A001380
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=27A001486
- Expansion of 1/((1+x)*(1-x)^6).at n=11A001753
- Numbers k such that 25*4^k + 1 is prime.at n=24A002263
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=45A002790
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=54A003113
- Numbers that are the sum of 9 positive 7th powers.at n=13A003376
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=8A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=8A004967
- a(n) = n*(5*n+1)/2.at n=32A005475
- a(n) = (n-1)*n*(n+4)/6.at n=24A005581
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=37A008083
- Expansion of e.g.f. cosh(sin(x)*x), even powers only.at n=4A009149
- Coordination sequence T3 for Zeolite Code -PAR.at n=36A009857
- Coordination sequence T1 for Zeolite Code WEI.at n=36A009917
- exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8...at n=4A012646
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=9A015990
- Expansion of Product_{m>=1} (1+x^m)^14.at n=4A022579