5313
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 3903
- 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
- 2640
- Möbius Function
- 1
- Radical
- 5313
- 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
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=13A000263
- Number of bipartite partitions of n white objects and 3 black ones.at n=15A000412
- Class numbers associated with terms of A001988.at n=20A001989
- Class numbers associated with terms of A001988.at n=21A001989
- Degrees of irreducible representations of Mathieu group M_24.at n=22A003859
- Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.at n=45A008581
- Coordination sequence for alpha-Mn, Position Mn1.at n=19A009950
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=42A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=18A013593
- n written in fractional base 7/5.at n=24A024642
- a(n) = n*(n+1)*(n+2)/2.at n=21A027480
- Positive numbers k such that k*(k+1) is a palindrome.at n=8A028336
- Squarefree degrees of irreducible representations of Mathieu group M_24.at n=8A028824
- Numbers k such that 203*2^k + 1 is prime.at n=15A032478
- a(n) = (2*n+1)*(10*n+1).at n=16A033574
- a(n) = n*(2*n-1)*(2*n+1).at n=11A035328
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3,0.at n=4A037699
- Expansion of (1/(1-x^2))*Product_{m>=0} 1/(1-x^(2m+1)).at n=41A038348
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=43A043078
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=16A045276