677
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 678
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 676
- Möbius Function
- -1
- Radical
- 677
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 51
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 123
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- sechshundertsiebenundsiebzig· ordinal: sechshundertsiebenundsiebzigste
- English
- six hundred seventy-seven· ordinal: six hundred seventy-seventh
- Spanish
- seiscientos setenta y siete· ordinal: 677º
- French
- six cent soixante-dix-sept· ordinal: six cent soixante-dix-septième
- Italian
- seicentosettantasette· ordinal: 677º
- Latin
- sescenti septuaginta septem· ordinal: 677.
- Portuguese
- seiscentos e setenta e sete· ordinal: 677º
Appears in sequences
- Number of partitions into non-integral powers.at n=14A000327
- Number of partitions of n into prime parts.at n=48A000607
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=44A000928
- a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.at n=30A001000
- Primes with primitive root 2.at n=50A001122
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=8A001275
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=31A001682
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=39A001914
- Primes of the form k^2 + 1.at n=9A002496
- a(n) = n^2 + 1.at n=26A002522
- a(n) = a(n-1)^2 + 1 for n >= 1, with a(0) = 0.at n=5A003095
- Expansion of the reciprocal of the g.f. defining A039924.at n=12A003116
- Number of partially achiral planted trees with n nodes.at n=14A003237
- Divisible only by primes congruent to 5 mod 7.at n=32A004623
- Class 4+ primes (for definition see A005105).at n=6A005108
- Record values in A005210.at n=30A005211
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)).at n=15A005468
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 2.at n=7A005469
- Primitive prime factors of the sequence k^2 + 1 (A002522) in the order that they are found.at n=18A005529
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=15A005918