442
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 756
- Proper Divisor Sum (Aliquot Sum)
- 314
- 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
- 192
- Möbius Function
- -1
- Radical
- 442
- 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
- 115
- 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
- vierhundertzweiundvierzig· ordinal: vierhundertzweiundvierzigste
- English
- four hundred forty-two· ordinal: four hundred forty-second
- Spanish
- cuatrocientos cuarenta y dos· ordinal: 442º
- French
- quatre cent quarante-deux· ordinal: quatre cent quarante-deuxième
- Italian
- quattrocentoquarantadue· ordinal: 442º
- Latin
- quadringenti quadraginta duo· ordinal: 442.
- Portuguese
- quatrocentos e quarenta e dois· ordinal: 442º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=55A000068
- Expansion of Product_{k >= 1} (1 - x^k)^6.at n=57A000729
- Number of inequivalent planar partitions of n, when considering them as 3D objects.at n=13A000786
- Number of permutations of order n with the length of longest run equal to 3.at n=5A001251
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=23A001305
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=47A001310
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=46A001310
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=34A001318
- Number of one-sided triangulations of the disk; or flexagons of order n; or unlabeled plane trivalent trees (n-2 internal vertices, all of degree 3 and hence n leaves).at n=9A001683
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=50A001840
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=40A002038
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=36A002491
- a(n) = n^2 + 1.at n=21A002522
- Numbers k such that (k^2 + k + 1)/3 is prime.at n=52A002640
- Representation degeneracies for Ramond strings.at n=10A005304
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=17A005449
- a(n) = (n-1)*n*(n+4)/6.at n=13A005581
- Numbers k such that k^8 + 1 is prime.at n=17A006314
- a(n) = Sum_{k=1..n-1} (k OR n-k).at n=21A006583
- Series for first parallel moment of square lattice.at n=7A006732