5529
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7840
- Proper Divisor Sum (Aliquot Sum)
- 2311
- 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
- 3456
- Möbius Function
- -1
- Radical
- 5529
- Omega Function (Ω)
- 3
- 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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=42A025056
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 48.at n=28A031546
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=48A035624
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5).at n=30A039900
- a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=41A046254
- Numbers n such that 291*2^n-1 is prime.at n=21A050904
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which represent a rotation of order 2.at n=6A053171
- Numbers n such that n^2 contains exactly 8 different digits.at n=26A054036
- Numbers k such that reverse(gpf(k)) = gpf(k+1), where gpf(n) = A006530(n); a(1)=1.at n=17A071844
- One-sixth the area of the smallest primitive d-arithmetic triangle, where d=A072330(n).at n=18A072360
- Partial sums of A080180.at n=18A080181
- a(1) = 1 then the least multiple of odd numbers not odd multiples of 5, (3,7,9,11,13,17,19,21,23,27,29,...) such that every partial concatenation is noncomposite.at n=22A110433
- (Sum of the squares of the quadratic residues of prime(n)) / prime(n).at n=38A125614
- Odd interprimes divisible by 19.at n=14A126231
- Concatenation of n-th Fibonacci number and n-th prime.at n=9A138821
- Number of n X n binary matrices, symmetric under horizontal reflection, with no more than 2 ones in any 2 X 2 subblock.at n=5A141503
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 0, -1), (1, -1, 1), (1, 1, 1)}.at n=7A149713
- a(0)=4; a(n)=n^2+a(n-1) for n>0.at n=25A153058
- Numbers k such that k^81*(k^81+1)+1 is prime.at n=23A153442
- a(n) = n*(n+1)*(5*n+7)/6.at n=18A162148