507
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 732
- Proper Divisor Sum (Aliquot Sum)
- 225
- 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
- 312
- Möbius Function
- 0
- Radical
- 39
- Omega Function (Ω)
- 3
- 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
- 35
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
Names
- German
- fünfhundertsieben· ordinal: fünfhundertsiebenste
- English
- five hundred seven· ordinal: five hundred seventh
- Spanish
- quinientos siete· ordinal: 507º
- French
- cinq cent sept· ordinal: cinq cent septième
- Italian
- cinquecentosette· ordinal: 507º
- Latin
- quingenti septem· ordinal: 507.
- Portuguese
- quinhentos e sete· ordinal: 507º
Appears in sequences
- a(n) = floor(n^2/3).at n=39A000212
- Number of rooted ternary trees with n nodes; number of n-carbon alkyl radicals C(n)H(2n+1) ignoring stereoisomers.at n=10A000598
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents.at n=54A001302
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=23A002061
- Number of bipartite partitions.at n=6A002764
- Number of n-node unlabeled connected graphs without endpoints.at n=7A004108
- Expansion of x*(1+x^2+x^4)/((1-x)*(1-x^2)*(1-x^3)).at n=45A004652
- a(n) = a(n-1) + 2*a(n-2) - a(n-3), with a(0) = a(1) = 0, a(2) = 1.at n=13A006053
- Number of strict (-1)st-order maximal independent sets in cycle graph.at n=12A007390
- Coordination sequence T3 for Zeolite Code AEI.at n=17A008003
- Coordination sequence T2 for Zeolite Code AFT.at n=17A008027
- Coordination sequence T3 for Zeolite Code DOH.at n=14A008080
- Total length of strings on n symbols in Stockhausen problem.at n=2A008270
- Numbers that do not contain the letter 't'.at n=29A008523
- Multiples of 13.at n=39A008595
- a(n) = ceiling(n^2/3).at n=39A008810
- Expansion of x*(1+x^4)/((1-x)^2*(1-x^4)).at n=45A008811
- Numbers that are the hypotenuses of more than one Pythagorean triangle.at n=51A009177
- a(n) = b(n) - c(n) where b(n) is the n-th Lucas number greater than 3 and c(n) is the n-th number not in sequence b( ).at n=10A014252
- Expansion of (1+2*x+3*x^2)/((1-x)*(1-x^2)^2).at n=25A014255