466
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 702
- Proper Divisor Sum (Aliquot Sum)
- 236
- 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
- 232
- Möbius Function
- 1
- Radical
- 466
- 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
- 84
- 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
- vierhundertsechsundsechzig· ordinal: vierhundertsechsundsechzigste
- English
- four hundred sixty-six· ordinal: four hundred sixty-sixth
- Spanish
- cuatrocientos sesenta y seis· ordinal: 466º
- French
- quatre cent soixante-six· ordinal: quatre cent soixante-sixième
- Italian
- quattrocentosessantasei· ordinal: 466º
- Latin
- quadringenti sexaginta sex· ordinal: 466.
- Portuguese
- quatrocentos e sessenta e seis· ordinal: 466º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=56A000068
- 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=30A000124
- Number of certain rooted planar maps.at n=4A000305
- Numbers n such that every digit contains a loop (version 2).at n=37A001744
- 2 together with primes multiplied by 2.at n=51A001747
- Numbers k such that 45*2^k - 1 is prime.at n=30A002242
- Absolute value of Glaisher's beta'(2n+1).at n=35A002291
- Expansion of a modular function for Gamma_0(6).at n=9A002508
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=16A002597
- a(n) = 2^n - 1 - n*(n+1)/2.at n=9A002662
- Numbers that are the sum of 6 positive 4th powers.at n=35A003340
- Expansion of (1+x)(1+x^2)/(1-x-x^3).at n=15A003410
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=33A003635
- Fully multiplicative with a(prime(k)) = Fibonacci(k+2).at n=61A003965
- Divisible only by primes congruent to 2 mod 7.at n=38A004620
- a(n) = floor(n*phi^6), phi = golden ratio, A001622.at n=26A004921
- a(n) = round(n*phi^5), where phi is the golden ratio, A001622.at n=42A004940
- a(n) = ceiling(n*phi^5), where phi is the golden ratio, A001622.at n=42A004960
- Noncototients: numbers k such that x - phi(x) = k has no solution.at n=43A005278
- Representation degeneracies for boson strings.at n=18A005293