455
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 672
- Proper Divisor Sum (Aliquot Sum)
- 217
- 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
- 288
- Möbius Function
- -1
- Radical
- 455
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- no
- Odd
- yes
Names
- German
- vierhundertfünfundfünfzig· ordinal: vierhundertfünfundfünfzigste
- English
- four hundred fifty-five· ordinal: four hundred fifty-fifth
- Spanish
- cuatrocientos cincuenta y cinco· ordinal: 455º
- French
- quatre cent cinquante-cinq· ordinal: quatre cent cinquante-cinqième
- Italian
- quattrocentocinquantacinque· ordinal: 455º
- Latin
- quadringenti quinquaginta quinque· ordinal: 455.
- Portuguese
- quatrocentos e cinquenta e cinco· ordinal: 455º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=56A000008
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=13A000292
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=7A000447
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=18A000511
- Number of sublattices of index n in generic 3-dimensional lattice.at n=11A001001
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=17A001157
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=52A001301
- Binomial coefficients binomial(5n,n).at n=3A001449
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=41A002038
- Prime numbers of measurement.at n=20A002049
- The game of Mousetrap with n cards (given n letters and n envelopes, how many ways are there to fill the envelopes so that at least one letter goes into its right envelope?).at n=6A002467
- Odd squarefree numbers with an odd number of prime factors that have no prime factors greater than 31.at n=23A002556
- Erroneous version of A001157.at n=17A002800
- a(n) = n + Sum_{k=1..n} pi(k), where pi() = A000720.at n=48A002815
- Numbers that are the sum of 10 positive 4th powers.at n=53A003344
- a(n) = binomial(3n+6, n).at n=3A003408
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=12A003452
- Divisors of 2^12 - 1.at n=19A003524
- Divisors of 2^24 - 1.at n=28A003532
- Divisors of 2^36 - 1.at n=41A003543