538
domain: N
Properties
Digital Properties
- Digit Count
- 3
- 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
- 810
- Proper Divisor Sum (Aliquot Sum)
- 272
- 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
- 268
- Möbius Function
- 1
- Radical
- 538
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 30
- Smith 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
- yes
- Odd
- no
Names
- German
- fünfhundertachtunddreißig· ordinal: fünfhundertachtunddreißigste
- English
- five hundred thirty-eight· ordinal: five hundred thirty-eighth
- Spanish
- quinientos treinta y ocho· ordinal: 538º
- French
- cinq cent trente-huit· ordinal: cinq cent trente-huitième
- Italian
- cinquecentotrentotto· ordinal: 538º
- Latin
- quingenti triginta octo· ordinal: 538.
- Portuguese
- quinhentos e trinta e oito· ordinal: 538º
Appears in sequences
- Number of positive integers <= 2^n of form x^2 + 16*y^2.at n=12A000018
- Series-parallel numbers.at n=4A000163
- a(n) = 4^n - 2*3^n.at n=5A002250
- Erroneous version of A377569.at n=5A002632
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=49A002984
- Number of partitions of 1/n into 3 reciprocals of positive integers.at n=35A004194
- a(0) = 1, a(n) = sum of digits of all previous terms.at n=53A004207
- a(n) = floor(n*phi^6), phi = golden ratio, A001622.at n=30A004921
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=30A004941
- Sum of squares of odd primes dividing n.at n=68A005066
- Sum of squares of primes = 3 mod 4 dividing n.at n=68A005083
- Meandric numbers: number of ways a river can cross a road n times.at n=10A005316
- Number of distinct autocorrelations of binary words of length n.at n=32A005434
- Number of triangulations of the disk G_{n,3}.at n=3A005495
- Triangulations of the disk G_{3,n}.at n=3A005499
- Maxima of the rows of the triangle A259095.at n=26A005577
- Spiral sieve using Fibonacci numbers.at n=13A005620
- Generalized Fibonacci numbers D_{n,3}.at n=11A006211
- a(n+1) = a(n) + sum of digits of a(n), with a(1)=7.at n=48A006507
- Number of meanders in which first bridge is 3.at n=9A006660