438
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 888
- Proper Divisor Sum (Aliquot Sum)
- 450
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 144
- Möbius Function
- -1
- Radical
- 438
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- yes
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
- vierhundertachtunddreißig· ordinal: vierhundertachtunddreißigste
- English
- four hundred thirty-eight· ordinal: four hundred thirty-eighth
- Spanish
- cuatrocientos treinta y ocho· ordinal: 438º
- French
- quatre cent trente-huit· ordinal: quatre cent trente-huitième
- Italian
- quattrocentotrentotto· ordinal: 438º
- Latin
- quadringenti triginta octo· ordinal: 438.
- Portuguese
- quatrocentos e trinta e oito· ordinal: 438º
Appears in sequences
- Number of non-stereoisomeric paraffins with n carbon atoms.at n=14A000627
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=55A001312
- Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric groups S_n and S(n,3).at n=1A001327
- Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric groups S_2 and S(2,n).at n=1A001328
- Numbers k such that 3*2^k + 1 is prime.at n=17A002253
- Maximal kissing number of n-dimensional laminated lattice.at n=11A002336
- Number of integral points in a certain sequence of closed quadrilaterals.at n=30A002579
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=17A003143
- Cluster series for honeycomb.at n=10A003204
- Cluster series for cubic lattice.at n=4A003211
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=30A003238
- Numbers that are the sum of 8 positive 4th powers.at n=43A003342
- Numbers that are the sum of 10 positive 5th powers.at n=17A003355
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=33A003508
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=29A003635
- a(n) = floor((n^2 + 6n - 3)/4).at n=38A004116
- Number of distinct autocorrelations of binary words of length n.at n=30A005434
- Number of entries in first n rows of Pascal's triangle not divisible by 3.at n=45A006048
- Related to representations as sums of Fibonacci numbers.at n=38A006132
- Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity).at n=17A006753