410
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 756
- Proper Divisor Sum (Aliquot Sum)
- 346
- 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
- 160
- Möbius Function
- -1
- Radical
- 410
- Omega Function (Ω)
- 3
- 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
- 27
- 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
- vierhundertzehn· ordinal: vierhundertzehnste
- English
- four hundred ten· ordinal: four hundred tenth
- Spanish
- cuatrocientos diez· ordinal: 410º
- French
- quatre cent dix· ordinal: quatre cent dixième
- Italian
- quattrocentodieci· ordinal: 410º
- Latin
- quadringenti decem· ordinal: 410.
- Portuguese
- quatrocentos e dez· ordinal: 410º
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=15A000099
- Numbers beginning with letter 'f' in English.at n=34A000867
- Numbers that are the sum of 2 successive primes.at n=45A001043
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=22A001973
- Rotatable partitions.at n=26A002722
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.at n=62A002791
- Numbers that are the sum of 10 positive 4th powers.at n=47A003344
- Roman numerals with 1 letter, in alphabetical order; then those with 2 letters, etc.at n=46A003588
- a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.at n=37A004920
- a(n) = round(n*phi^5), where phi is the golden ratio, A001622.at n=37A004940
- Number of primitive (aperiodic, or Lyndon) asymmetric rhythm cycles: ones having no nontrivial shift automorphism.at n=7A006575
- Number of triangle-free graphs on n vertices.at n=7A006785
- Sphenic numbers: products of 3 distinct primes.at n=45A007304
- Inverse Moebius transform applied thrice to natural numbers.at n=53A007430
- Numbers that are the sum of 2 nonzero squares in 2 or more ways.at n=22A007692
- a(n) = n*(4*n+1).at n=10A007742
- Number of overlap-free binary words of length n.at n=56A007777
- Number of factors in the infinite word formed by the Kolakoski sequence A000002.at n=25A007782
- Expansion of 1/((1-2*x)*(1+x^2)).at n=9A007910
- a(n) is the largest even number k such that 6, 8, ..., k are sums of 2 of first n odd primes.at n=47A007944