406
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 720
- Proper Divisor Sum (Aliquot Sum)
- 314
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 168
- Möbius Function
- -1
- Radical
- 406
- 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
- yes
- 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
- 40
- 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
- vierhundertsechs· ordinal: vierhundertsechsste
- English
- four hundred six· ordinal: four hundred sixth
- Spanish
- cuatrocientos seis· ordinal: 406º
- French
- quatre cent six· ordinal: quatre cent sixième
- Italian
- quattrocentosei· ordinal: 406º
- Latin
- quadringenti sex· ordinal: 406.
- Portuguese
- quatrocentos e seis· ordinal: 406º
Appears in sequences
- a(n) = Sum_{k=1..n-1} k*sigma(k)*sigma(n-k).at n=6A000441
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=21A000601
- Expansion of Product_{n>=1} (1 - x^n)^7.at n=29A000730
- Numbers beginning with letter 'f' in English.at n=30A000867
- Number of twin prime pairs < square of n-th prime.at n=36A000885
- Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3).at n=17A000930
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=50A001301
- Numbers n such that every digit contains a loop (version 2).at n=27A001744
- Related to Zarankiewicz's problem.at n=26A001841
- Nearest integer to n^2/8.at n=57A001971
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=54A001972
- Class numbers associated with terms of A001990.at n=14A001991
- 4-dimensional figurate numbers: a(n) = (5*n-1)*binomial(n+2,3)/4.at n=6A002418
- Number of permutations of length n with one 3-sequence.at n=6A002629
- Sum of logarithmic numbers.at n=5A002744
- Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.at n=7A002817
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=45A003038
- a(n) = A001950(A003234(n)) + 1.at n=42A003249
- Numbers that are the sum of 6 positive 4th powers.at n=31A003340
- Numbers that are the sum of 11 positive 4th powers.at n=49A003345