371
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 432
- Proper Divisor Sum (Aliquot Sum)
- 61
- 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
- 1
- Radical
- 371
- Omega Function (Ω)
- 2
- 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
- yes
- Collatz Steps
- 45
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- dreihunderteinundsiebzig· ordinal: dreihunderteinundsiebzigste
- English
- three hundred seventy-one· ordinal: three hundred seventy-first
- Spanish
- trescientos setenta y uno· ordinal: 371º
- French
- trois cent soixante-onze· ordinal: trois cent soixante-onzième
- Italian
- trecentosettantuno· ordinal: 371º
- Latin
- trecenti septuaginta unus· ordinal: 371.
- Portuguese
- trezentos e setenta e um· ordinal: 371º
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=23A000223
- Number of discordant permutations.at n=1A000564
- Numbers that are the sum of 4 cubes in more than 1 way.at n=19A001245
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=17A001682
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=51A002154
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=21A002381
- Numbers k such that (k^2 + 1)/2 is prime.at n=56A002731
- Numbers that are the sum of 3 positive cubes.at n=49A003072
- Numbers that are the sum of 6 positive 4th powers.at n=28A003340
- Numbers that are the sum of 11 positive 4th powers.at n=44A003345
- Numbers that are the sum of 5 positive 5th powers.at n=10A003350
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=19A003402
- Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals up to rotation and reflection.at n=5A003450
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=15A003635
- Number of genealogical 1-2 rooted trees of height n.at n=6A003686
- Sums of distinct positive cubes.at n=54A003997
- Numbers of the form 2^j + 3^k, for j and k >= 0.at n=47A004050
- Primes written backwards.at n=39A004087
- a(n) = floor(100*log(n)).at n=40A004237
- a(n) = 100*log(n) rounded to nearest integer.at n=40A004238