8777
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8976
- Proper Divisor Sum (Aliquot Sum)
- 199
- 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
- 8580
- Möbius Function
- 1
- Radical
- 8777
- 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
- 140
- Smith Number
- no
- Vampire 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
Appears in sequences
- a(n) = (2*n+1) * (4*n-1).at n=33A033566
- Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1.at n=38A035971
- Number of partitions of n into parts not of the form 19k, 19k+9 or 19k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=34A035978
- Special connected numbers: minimal and maximal connected numbers (cf. A029827) of a given binary order, i.e., between two consecutive powers of 2.at n=18A036379
- Numbers whose maximal base-8 run length is 4.at n=22A037995
- Denominators of continued fraction convergents to sqrt(907).at n=9A042753
- Numbers having four 1's in base 8.at n=29A043428
- Numbers having three 7's in base 10.at n=34A043519
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=44A050967
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=40A059400
- Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways.at n=39A064283
- Number of Motzkin paths of length n with no peaks at level 1.at n=12A089372
- Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k peaks at height 1.at n=42A097611
- Near-repdigit semiprimes with 7 as repeated digit.at n=22A105988
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=36A109182
- A106486-encodings of combinatorial games equivalent to game {0|1}.at n=38A125997
- a(1) = 2; for n>=2, a(n) = 8*a(n-1) + 1.at n=4A132433
- Partial sums of A151782.at n=23A151793
- a(n) = n^3 - (n+1)^2.at n=21A153257
- a(n)=floor(3*n^2*(2+sqrt(3))).at n=27A172526