437
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 480
- Proper Divisor Sum (Aliquot Sum)
- 43
- 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
- 396
- Möbius Function
- 1
- Radical
- 437
- 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
- no
- Collatz Steps
- 115
- 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
- vierhundertsiebenunddreißig· ordinal: vierhundertsiebenunddreißigste
- English
- four hundred thirty-seven· ordinal: four hundred thirty-seventh
- Spanish
- cuatrocientos treinta y siete· ordinal: 437º
- French
- quatre cent trente-sept· ordinal: quatre cent trente-septième
- Italian
- quattrocentotrentasette· ordinal: 437º
- Latin
- quadringenti triginta septem· ordinal: 437.
- Portuguese
- quatrocentos e trinta e sete· ordinal: 437º
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 A(A000092(n)).at n=6A000413
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=23A000603
- Number of alkyls X^{II} C_n H_{2n+1} Y with n carbon atoms.at n=7A000645
- Numbers that are not the sum of 4 tetrahedral numbers.at n=28A000797
- a(n) = (6*n+1)*(6*n+5).at n=3A001513
- a(1) = 1; thereafter a(n+1) = floor(sqrt(2*a(n)*(a(n)+1))).at n=16A001521
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=39A002038
- Numerators of convergents to cube root of 3.at n=6A002354
- a(n) = floor(3^n / 2^n).at n=15A002379
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=22A002381
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=38A002557
- Numbers that are the sum of 7 positive 4th powers.at n=38A003341
- Numbers that are the sum of 9 positive 5th powers.at n=16A003354
- Number of partitions of 1/n into 3 reciprocals of positive integers.at n=49A004194
- Numbers of the form 8k+5; or, numbers whose binary expansion ends in 101.at n=54A004770
- Spiral sieve using Fibonacci numbers.at n=12A005622
- Products of 2 successive primes.at n=7A006094
- Number of subwords of length n in infinite word generated by a -> aab, b -> b.at n=32A006697
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=27A007285
- Numbers m such that m, m+1 and m+2 are squarefree.at n=57A007675