5330
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 5254
- 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
- 1920
- Möbius Function
- 1
- Radical
- 5330
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 54
- 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
- yes
- Odd
- no
Appears in sequences
- Representation degeneracies for boson strings.at n=37A005290
- Weighted count of partitions with odd parts.at n=38A005896
- Coordination sequence T5 for Zeolite Code MTT.at n=45A008193
- a(n) = floor(n*(n-1)*(n-2)/12).at n=41A011894
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=25A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=25A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=25A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=25A025314
- Denominators of the first differences of 1/(n^2 + 1).at n=8A033466
- Numerators of continued fraction convergents to sqrt(663).at n=5A042274
- a(n)=T(n,n), array T as in A049723.at n=41A049728
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=12A049972
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.at n=28A050051
- Values of n^2 + 1 resulting from A050796.at n=40A050800
- Numbers n such that n | sigma_10(n).at n=37A055714
- At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage.at n=19A056640
- Maximal term in trajectory of P under the 'Px+1' map, where P = n-th prime, or -1 if no such term exists.at n=19A057689
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=25A061191
- a(n) = prime(n)^2 + 1.at n=20A066872
- Numbers k such that sigma_k(k)/k is an integer, where sigma_k(k) is the sum of the k-th powers of the divisors of k (A023887).at n=39A067313