254
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
- 384
- Proper Divisor Sum (Aliquot Sum)
- 130
- 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
- 126
- Möbius Function
- 1
- Radical
- 254
- 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
- 47
- 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
- yes
- Odd
- no
Names
- German
- zweihundertvierundfünfzig· ordinal: zweihundertvierundfünfzigste
- English
- two hundred fifty-four· ordinal: two hundred fifty-fourth
- Spanish
- doscientos cincuenta y cuatro· ordinal: 254º
- French
- deux cent cinquante-quatre· ordinal: deux cent cinquante-quatrième
- Italian
- duecentocinquantaquattro· ordinal: 254º
- Latin
- ducenti quinquaginta quattuor· ordinal: 254.
- Portuguese
- duzentos e cinquenta e quatro· ordinal: 254º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=37A000068
- Number of positive integers <= 2^n of form x^2 + 4 y^2.at n=10A000072
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=22A000124
- 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=18A000223
- a(0) = 1, a(1) = 4, and a(n) = a(n-1) + a(n-2) for n >= 2.at n=10A000285
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=50A000606
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=18A000702
- a(n) = 2^n - 2.at n=8A000918
- n! never ends in this many 0's.at n=49A000966
- Winning moves in Fibonacci nim.at n=44A001581
- 2 together with primes multiplied by 2.at n=31A001747
- Numbers k such that phi(k+2) = phi(k) + 2.at n=28A001838
- Number of partitions of n with exactly two part sizes.at n=37A002133
- Number of partitions of at most n into at most 5 parts.at n=13A002622
- Numbers k such that (4*k^2 + 1)/5 is prime.at n=43A002732
- Positions of letter c in the tribonacci word abacabaabacababac... generated by a->ab, b->ac, c->a (cf. A092782).at n=40A003146
- a(n) = A001950(A003234(n)) + 1.at n=25A003249
- Szekeres's sequence: a(n)-1 in ternary = n-1 in binary; also: a(1) = 1, a(2) = 2, and thereafter a(n) is smallest number k which avoids any 3-term arithmetic progression in a(1), a(2), ..., a(n-1), k.at n=37A003278
- Numbers that are the sum of 4 positive cubes in 1 or more way.at n=55A003327
- Numbers that are the sum of 12 positive 5th powers.at n=8A003357