377
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 420
- Proper Divisor Sum (Aliquot Sum)
- 43
- 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
- 336
- Möbius Function
- 1
- Radical
- 377
- 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
- yes
- 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
- 63
- 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
- no
- Odd
- yes
Names
- German
- dreihundertsiebenundsiebzig· ordinal: dreihundertsiebenundsiebzigste
- English
- three hundred seventy-seven· ordinal: three hundred seventy-seventh
- Spanish
- trescientos setenta y siete· ordinal: 377º
- French
- trois cent soixante-dix-sept· ordinal: trois cent soixante-dix-septième
- Italian
- trecentosettantasette· ordinal: 377º
- Latin
- trecenti septuaginta septem· ordinal: 377.
- Portuguese
- trezentos e setenta e sete· ordinal: 377º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=52A000008
- a(n) = n*(n+3)/2.at n=26A000096
- Number of points of norm <= n^2 in square lattice.at n=11A000328
- Number of ethylene derivatives with n carbon atoms.at n=8A000631
- Number of partitions of n into at most 5 parts.at n=25A001401
- Centered octahedral numbers (crystal ball sequence for cubic lattice).at n=6A001845
- Crystal ball sequence for 6-dimensional cubic lattice.at n=3A001848
- F(2n) = bisection of Fibonacci sequence: a(n) = 3*a(n-1) - a(n-2).at n=7A001906
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=57A002155
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=33A002503
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=35A002557
- a(n) = Sum_{d|n, d <= 3} d^2 + 3*Sum_{d|n, d>3} d.at n=63A002660
- Number of bipartite partitions.at n=7A002766
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.at n=61A002791
- a(n) = A001950(A003234(n)) + 1.at n=39A003249
- Numbers that are the sum of 12 positive 4th powers.at n=48A003346
- Numbers that are the sum of 11 positive 5th powers.at n=16A003356
- a(n) = Sum_{k=0..n} C(n-k,3k).at n=12A003522
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=17A003635
- Fully multiplicative with a(prime(k)) = Fibonacci(k+2).at n=36A003965