6832
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 15376
- Proper Divisor Sum (Aliquot Sum)
- 8544
- 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
- 2880
- Möbius Function
- 0
- Radical
- 854
- 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
- 57
- 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 (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=33A002653
- 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=33A002706
- a(n) = Fibonacci(n+1) + prime(n).at n=18A004398
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=39A024784
- a(n) = T(n,n) + T(n,m+1) + ... + T(n,n), where m=[ (n+2)/2 ], T given by A027011.at n=11A027021
- [ exp(7/23)*n! ].at n=6A030822
- Multiplicity of highest weight (or singular) vectors associated with character chi_130 of Monster module.at n=39A034518
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= -5, with F(-n)=(-1)^(n+1)*F(n);.at n=21A037141
- Can express a(n) with the digits of a(n)^2 in order, only adding plus signs.at n=45A038206
- Numbers ending with '2' that are the difference of two positive cubes.at n=20A038857
- Numerators of continued fraction convergents to sqrt(922).at n=6A042782
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x8^2 = n.at n=33A045850
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=25A051347
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=28A051872
- Intrinsic 9-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=19A060879
- Coefficients of a power series whose convolution consists of only the even-indexed terms of the sequence.at n=39A073707
- Coefficients of a power series whose convolution consists of only the even-indexed terms of the sequence.at n=38A073707
- Generating function A(x) satisfies A(x) = (1+x)^2*A(x^2)^2, with A(0)=1.at n=19A073708
- Coefficients related to tennis ball problem.at n=3A079518
- Triangular array related to tennis ball problem, read by rows.at n=62A079520