5245
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6300
- Proper Divisor Sum (Aliquot Sum)
- 1055
- 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
- 4192
- Möbius Function
- 1
- Radical
- 5245
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 103
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 bipartite partitions.at n=13A002768
- Related to enumeration of rooted maps.at n=3A006303
- Floor[n(n-1)(n-2)(n-3)/14].at n=18A011924
- Number of graphs with loops, having unlabeled (non-isolated) nodes and n labeled edges.at n=5A014501
- Expansion of Product_{m>=1} (1+q^m)^(-20).at n=4A022615
- n written in fractional base 8/5.at n=37A024647
- Every suffix prime and no 0 digits in base 6 (written in base 6).at n=41A024781
- a(n) = position of 3*(n^2) in A000408.at n=45A024800
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=27A045131
- a(n) = T(6,n), array T given by A048505.at n=6A048511
- a(n) = T(n,n), array T given by A048505.at n=6A048515
- Number of asymmetric types of (4,n)-hypergraphs under action of symmetric group S_4.at n=4A055537
- Centered 19-gonal numbers.at n=23A069132
- Length of lists created by n substitutions k -> Range[0,Mod[k+1,4]] starting with {0}.at n=9A084085
- Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal.at n=5A093182
- Integers of the form c(n)/b(n) where c(n+1)=c(n)+(n+1)^4 with c(0)=1 and b(n+1)=b(n)+(n+1)^2 with b(0)=1.at n=37A119617
- a(n) = 15*n^2 - 9*n + 1.at n=19A134154
- Positions of heptagonal numbers in the EKG sequence.at n=46A140810
- Numbers k such that the continued fraction of (1 + sqrt(k))/2 has period 9.at n=35A143577
- Numbers n with property that A077116(n) is nonzero square.at n=29A154101