477
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 702
- Proper Divisor Sum (Aliquot Sum)
- 225
- 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
- 312
- Möbius Function
- 0
- Radical
- 159
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 35
- 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
- no
- Odd
- yes
Names
- German
- vierhundertsiebenundsiebzig· ordinal: vierhundertsiebenundsiebzigste
- English
- four hundred seventy-seven· ordinal: four hundred seventy-seventh
- Spanish
- cuatrocientos setenta y siete· ordinal: 477º
- French
- quatre cent soixante-dix-sept· ordinal: quatre cent soixante-dix-septième
- Italian
- quattrocentosettantasette· ordinal: 477º
- Latin
- quadringenti septuaginta septem· ordinal: 477.
- Portuguese
- quatrocentos e setenta e sete· ordinal: 477º
Appears in sequences
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=18A000326
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=35A001318
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=52A001840
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=23A002642
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=18A002798
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=17A003318
- a(n) = 1000*log_10(n) rounded down.at n=2A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=2A004226
- Divisible only by primes congruent to 3 mod 5.at n=43A004617
- Numbers k such that 2*(2k-3)!/(k!*(k-1)!) is an integer.at n=52A004782
- a(n) = round(n*phi^5), where phi is the golden ratio, A001622.at n=43A004940
- a(n) = ceiling(n*phi^5), where phi is the golden ratio, A001622.at n=43A004960
- P-positions in Epstein's Put or Take a Square game.at n=17A005240
- Smallest number that requires n iterations of the bi-unitary totient function (A116550) to reach 1.at n=24A005424
- If k appears so do 2k+2 and 3k+3. (duplicates omitted.)at n=53A005660
- a(n) = floor(tau*a(n-1)) + a(n-2) with a(0)=0 and a(1)=2.at n=9A005829
- Weighted count of partitions with distinct parts.at n=17A005895
- Molien series for a certain group of order 52.at n=51A005916
- Sums of prime divisors of Ruth-Aaron numbers (A006145).at n=42A006146
- Rabbytes: group eight successive Fibonacci numbers in binary and translate to decimal.at n=5A006224