3103
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3240
- Proper Divisor Sum (Aliquot Sum)
- 137
- 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
- 2968
- Möbius Function
- 1
- Radical
- 3103
- 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
- 92
- 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 directed column-convex polyominoes of height n: a(k+1)=(k+1)*a(k)+(a(1)+...+a(k)).at n=6A007808
- Coordination sequence T1 for Zeolite Code AST.at n=40A008036
- Coordination sequence T3 for Zeolite Code DAC.at n=35A008069
- Coordination sequence T3 for Zeolite Code DDR.at n=35A008073
- Coordination sequence T1 for Zeolite Code YUG.at n=36A008247
- Coordination sequence T2 for Zeolite Code RTE.at n=38A009891
- Coordination sequence T3 for Zeolite Code RTE.at n=38A009892
- Coordination sequence T5 for Zeolite Code TER.at n=37A016437
- Nearest integer to Gamma(n + 3/10)/Gamma(3/10).at n=8A020017
- Ceiling of Gamma(n+3/10)/Gamma(3/10).at n=8A020107
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=20A020387
- Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers.at n=27A023192
- a(n) = [ 3rd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=9A025194
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=30A031792
- Number of partitions satisfying cn(1,5) = cn(4,5) = 0.at n=49A036822
- Number of odd nonprimes < (2n+1)^2.at n=45A037040
- Positive numbers having the same set of digits in base 4 and base 10.at n=29A037428
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 3,1,0.at n=3A037666
- Coordination sequence T4 for Zeolite Code ESV.at n=37A038411
- Coordination sequence T14 for Zeolite Code STT.at n=37A038430