5575
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6944
- Proper Divisor Sum (Aliquot Sum)
- 1369
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4440
- Möbius Function
- 0
- Radical
- 1115
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 67
- 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
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n in cubic lattice.at n=11A000605
- Nearest integer to 4 * Pi * n^3 / 3.at n=11A002101
- a(n) = n*(9*n-2).at n=25A013656
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=38A025524
- Multiplicity of highest weight (or singular) vectors associated with character chi_19 of Monster module.at n=36A034407
- Numbers having three 5's in base 10.at n=25A043511
- Closed 3-dimensional ball numbers (version 1): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (0,0,0).at n=22A053591
- Number of 3 x n binary matrices without unit columns up to row and column permutations.at n=26A057524
- a(n) = floor( (4/3)*Pi*n^3 ).at n=11A066645
- Arithmetic means of rows of A083173.at n=47A083176
- Number of distinct products i*j*k with 1 <= i < j <= k <= n and j < n.at n=45A083508
- Maximal number of zeros in a column of the character table of the symmetric group S_n.at n=29A086642
- Triangle, read by rows: T(0,0) = 1, T(n,k) = F(n+1)*T(n-1,k) - T(n-1,k-1) where F(n+1) is the (n+1)st Fibonacci number.at n=23A107416
- a(n) = A000265(3*(a(n-1) + a(n-2))/2 + 1) starting at a(1)=1, a(2)=11.at n=23A124139
- Number of base 7 circular n-digit numbers with adjacent digits differing by 1 or less.at n=8A124700
- Numbers m such that A119029(m) = numerator(Sum_{k=1..m} m^(k-1)/k!) is prime.at n=11A129977
- Zero followed by partial sums of A059100, starting at n=1.at n=25A145068
- Terms in A046034 which are pairwise products of terms in A046034.at n=13A153446
- a(n) = (3*n*2^n+2^(n+4)+2*(-1)^n)/18.at n=11A172481
- a(n) = (u+1)^n + (-s-1)^n + (t+1)^n + (-1)^n + (-t+1)^n + (s-1)^n + (-u+1)^n where s = sqrt(2), t = sqrt(2-s), u = sqrt(2+s).at n=8A215503