4776
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12000
- Proper Divisor Sum (Aliquot Sum)
- 7224
- 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
- 1584
- Möbius Function
- 0
- Radical
- 1194
- Omega Function (Ω)
- 5
- 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
- 28
- 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
- a(n) = n*(7*n^2 - 1)/6.at n=16A004126
- a(n) = floor(Fibonacci(n)/6).at n=23A004699
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=24A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=24A004946
- Optimal cost of search tree for searching an ordered array of n elements with cost k of probing element k.at n=44A007077
- Coordination sequence T12 for Zeolite Code MFI.at n=44A008164
- Coordination sequence T8 for Zeolite Code MFI.at n=44A008171
- Coordination sequence T4 for Zeolite Code MFS.at n=43A008176
- Coordination sequence T4 for Zeolite Code STI.at n=47A008237
- Expansion of 1/((1-2*x)*(1-6*x)*(1-7*x)*(1-9*x)).at n=3A026326
- Decimal part of a(n)^(1/11) starts with n (11th powers excluded).at n=16A034066
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.at n=16A034076
- Denominators of continued fraction convergents to sqrt(275).at n=11A041517
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=14A045051
- a(n) = Sum{T(n,i): i=0,1,...,n}, where T is given by A048113.at n=16A048114
- (1/2)*Sum{T(n,i): i=0,1,...,n}, where T is given by A048113.at n=14A048115
- Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=21A053596
- Numbers which are the sum of their proper divisors containing the digit 9.at n=9A059468
- Numbers k such that phi(x) = k has exactly 7 solutions.at n=30A060670
- Number of partitions of n with positive rank.at n=32A064173