5
domain: N
Properties
Digital Properties
- Digit Count
- 1
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- yes
- Kaprekar Number
- no
- Multiplicative Persistence
- 0
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4
- Möbius Function
- -1
- Radical
- 5
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- yes
- Bell Number
- yes
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- yes
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- yes
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- yes
- Collatz Steps
- 5
- Smith Number
- no
Classification
- Natural
- yes
- Even
- no
- Odd
- yes
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 3
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Names
- German
- fünf· ordinal: fünfte
- English
- five· ordinal: fifth
- Spanish
- cinco· ordinal: quinto
- French
- cinq· ordinal: cinquième
- Italian
- cinque· ordinal: quinto
- Latin
- quinque· ordinal: quintus
- Portuguese
- cinco· ordinal: quinto
Appears in sequences
- Number of groups of order n.at n=8A000001
- Number of groups of order n.at n=12A000001
- Number of groups of order n.at n=18A000001
- Number of groups of order n.at n=20A000001
- Number of groups of order n.at n=27A000001
- Number of groups of order n.at n=50A000001
- Number of groups of order n.at n=52A000001
- Number of groups of order n.at n=68A000001
- Number of classes of primitive positive definite binary quadratic forms of discriminant D = -4n; or equivalently the class number of the quadratic order of discriminant D = -4n.at n=46A000003
- Number of classes of primitive positive definite binary quadratic forms of discriminant D = -4n; or equivalently the class number of the quadratic order of discriminant D = -4n.at n=78A000003
- d(n) (also called tau(n) or sigma_0(n)), the number of divisors of n.at n=15A000005
- d(n) (also called tau(n) or sigma_0(n)), the number of divisors of n.at n=80A000005
- Integer part of square root of n-th prime.at n=9A000006
- Integer part of square root of n-th prime.at n=10A000006
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=6A000008
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=7A000009
- Number of series-reduced trees with n nodes.at n=9A000014
- Smallest prime power >= n.at n=4A000015
- Number of primitive permutation groups of degree n.at n=4A000019
- Number of primitive permutation groups of degree n.at n=23A000019