546
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1344
- Proper Divisor Sum (Aliquot Sum)
- 798
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 144
- Möbius Function
- 1
- Radical
- 546
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- no
- 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
- fünfhundertsechsundvierzig· ordinal: fünfhundertsechsundvierzigste
- English
- five hundred forty-six· ordinal: five hundred forty-sixth
- Spanish
- quinientos cuarenta y seis· ordinal: 546º
- French
- cinq cent quarante-six· ordinal: cinq cent quarante-sixième
- Italian
- cinquecentoquarantasei· ordinal: 546º
- Latin
- quingenti quadraginta sex· ordinal: 546.
- Portuguese
- quinhentos e quarenta e seis· ordinal: 546º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=60A000008
- Stirling numbers of the first kind: s(n+2, n).at n=7A000914
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=19A001157
- Unsigned Stirling numbers of the first kind s(n,7).at n=2A001234
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=12A001485
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=47A002038
- Weight distribution of Karlin's [28,14,8] double circulant code.at n=4A002606
- Weight distribution of Karlin's [28,14,8] double circulant code.at n=10A002606
- Number of terms in a bordered skew determinant.at n=4A002772
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=34A002789
- Numbers k such that 2*10^k - 1 is prime.at n=13A002957
- Numbers k such that k! - 1 is prime.at n=15A002982
- Numbers that are the sum of 6 positive 4th powers.at n=40A003340
- Symmetries in unrooted 4-trees on n+1 vertices.at n=9A003616
- a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.at n=23A004979
- Number of regular graphs with n unlabeled nodes.at n=11A005176
- a(n) = (n-1)*n*(n+4)/6.at n=14A005581
- Quadrinomial coefficients.at n=2A005724
- a(n) is the smallest positive integer a for which there is an identity of the form a*n*x = Sum_{i=1..m} ai*gi(x)^n where a1, ..., am are in Z and g1(x), ..., gm(x) are in Z[x].at n=55A005729
- a(n) is the smallest positive integer a for which there is an identity of the form a*n*x = Sum_{i=1..m} ai*gi(x)^n where a1, ..., am are in Z and g1(x), ..., gm(x) are in Z[x].at n=27A005729