516
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1232
- Proper Divisor Sum (Aliquot Sum)
- 716
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 168
- Möbius Function
- 0
- Radical
- 258
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 123
- 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
- yes
- Odd
- no
Names
- German
- fünfhundertsechzehn· ordinal: fünfhundertsechzehnste
- English
- five hundred sixteen· ordinal: five hundred sixteenth
- Spanish
- quinientos dieciséis· ordinal: 516º
- French
- cinq cent seize· ordinal: cinq cent seizième
- Italian
- cinquecentosedici· ordinal: 516º
- Latin
- quingenti sedecim· ordinal: 516.
- Portuguese
- quinhentos e dezesseis· ordinal: 516º
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=25A000603
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=38A001101
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=26A002642
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=33A002789
- Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.at n=6A002912
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=48A002984
- Beginnings of periodic unitary aliquot sequences.at n=42A003062
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=32A003238
- a(n) = A001950(A003234(n)) + 1.at n=53A003249
- Numbers that are the sum of 6 positive 4th powers.at n=38A003340
- Numbers that are the sum of 12 positive 6th powers.at n=8A003368
- Numbers that are the sum of 8 positive 7th powers.at n=4A003375
- Numbers that are the sum of 6 nonzero 8th powers.at n=2A003384
- Numbers that are the sum of 5 positive 9th powers.at n=1A003394
- Smallest positive integer that is n times its digit sum, or 0 if no such number exists.at n=42A003634
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=46A003635
- From a counter moving problem.at n=11A004138
- a(n) = floor(100*log_2(n)).at n=35A004262
- a(n) = floor(Fibonacci(n)/5).at n=18A004698
- Numbers that are the sum of at most 8 positive 7th powers.at n=34A004870