542
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 816
- Proper Divisor Sum (Aliquot Sum)
- 274
- 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
- 270
- Möbius Function
- 1
- Radical
- 542
- 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
- 43
- 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
- fünfhundertzweiundvierzig· ordinal: fünfhundertzweiundvierzigste
- English
- five hundred forty-two· ordinal: five hundred forty-second
- Spanish
- quinientos cuarenta y dos· ordinal: 542º
- French
- cinq cent quarante-deux· ordinal: cinq cent quarante-deuxième
- Italian
- cinquecentoquarantadue· ordinal: 542º
- Latin
- quingenti quadraginta duo· ordinal: 542.
- Portuguese
- quinhentos e quarenta e dois· ordinal: 542º
Appears in sequences
- Number of connected graphs with one cycle of length 4.at n=7A000368
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=42A002088
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=36A002122
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=27A002642
- Beginnings of periodic unitary aliquot sequences.at n=45A003062
- Convolution of A002024 with itself.at n=25A004797
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=48A005662
- Numbers whose ternary expansion contains no 1's.at n=41A005823
- Related to representations as sums of Fibonacci numbers.at n=12A006133
- Number of factorization patterns of polynomials of degree n over F_3.at n=12A006168
- Numbers k such that k^8 + 1 is prime.at n=21A006314
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=25A006582
- A grasshopper sequence: closed under n -> 2n+2 and 6n+6.at n=36A007319
- Coordination sequence T2 for Zeolite Code MAZ.at n=16A008145
- Coordination sequence T3 for Zeolite Code NON.at n=14A008214
- Coordination sequence T1 for Zeolite Code PAU.at n=17A008219
- Coordination sequence T5 for Zeolite Code PAU.at n=17A008223
- Molien series for Weyl group E_7.at n=29A008583
- Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)).at n=62A008673
- Expansion of (1+x^4)/((1-x)*(1-x^2)*(1-x^3)).at n=56A008747