5277
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7040
- Proper Divisor Sum (Aliquot Sum)
- 1763
- 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
- 3516
- Möbius Function
- 1
- Radical
- 5277
- 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
- 147
- 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
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19-x^20).at n=66A017896
- a(n) = Sum_{j=0..n} Sum_{i=0..n} T(j,i), T given by A026736.at n=11A026745
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=38A031504
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 48.at n=20A031546
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=28A031901
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=39A043078
- a(n) = Sum_{i=0..floor(n/2)} A047072(i, n-2*i).at n=21A047079
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=28A050963
- a(n) = A048141(3*n).at n=44A051061
- Engel expansion of log(5).at n=12A067922
- q such that p^4 + q^4 = r^4 + s^4 = a(n).at n=34A088665
- Numerator of I(n) = (integral_{x=0..1/2}(1-x^2)^n,dx), where the denominator is b(n) = 2^n*(2*n+2)!/(n+1)!.at n=3A091814
- Numbers n such that 8*10^n + 7*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=11A103091
- Numbers n such that (n + prime(n)), (n+1 + prime(n+1)) and (n+2 + prime(n+2)) are divisible by 5.at n=33A107581
- {a(2,n)}, where a(m,n) is as defined in sequence A110576.at n=7A110578
- Lucky numbers with only prime digits.at n=43A118718
- Semiprimes which are the sum of two pentagonal numbers (A000326) in exactly two different ways.at n=25A120536
- Semiprimes s such that s-/+4 are primes.at n=32A125216
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 00100-00100-11111 pattern in any orientation.at n=14A146997
- Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 3 X 3 X 3 subtriangle summing to 5.at n=3A154045