248
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
- 8
- Divisor Sum
- 480
- Proper Divisor Sum (Aliquot Sum)
- 232
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 120
- Möbius Function
- 0
- Radical
- 62
- Omega Function (Ω)
- 4
- 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
- 109
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- zweihundertachtundvierzig· ordinal: zweihundertachtundvierzigste
- English
- two hundred forty-eight· ordinal: two hundred forty-eighth
- Spanish
- doscientos cuarenta y ocho· ordinal: 248º
- French
- deux cent quarante-huit· ordinal: deux cent quarante-huitième
- Italian
- duecentoquarantotto· ordinal: 248º
- Latin
- ducenti quadraginta octo· ordinal: 248.
- Portuguese
- duzentos e quarenta e oito· ordinal: 248º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=36A000068
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=25A000118
- a(n) = 2^n - n.at n=8A000325
- Number of irreducible chord diagrams with 2n nodes.at n=5A000699
- Genus of complete graph on n nodes.at n=57A000933
- n! never ends in this many 0's.at n=48A000966
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=52A001066
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=42A001301
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents.at n=42A001302
- Winning moves in Fibonacci nim.at n=43A001581
- Hexanacci numbers: a(n+1) = a(n)+...+a(n-5) with a(0)=...=a(4)=0, a(5)=1.at n=14A001592
- a(n) = floor(sqrt( 2*Pi )^n).at n=6A001674
- a(n) = round(sqrt( 2*Pi )^n).at n=6A001675
- Number of series-reduced planted trees with n nodes.at n=14A001678
- Numbers k such that 5*2^k - 1 is prime.at n=13A001770
- a(n) = floor((n+2/3)*(5+sqrt(13))/2); v-pile positions in the 3-Wythoff game.at n=57A001960
- v-pile counts for the 4-Wythoff game with i=2.at n=47A001966
- Numbers congruent to {2, 4, 8, 16} (mod 20).at n=50A002081
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=36A002155
- Dimensions of integral lattices that are irreducible modulo every prime (there may be missing terms!).at n=3A002268