6577
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6578
- 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
- 6576
- Möbius Function
- -1
- Radical
- 6577
- 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
- 137
- Smith Number
- no
- Vampire 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
- 851
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=13A002645
- Numbers that are the sum of 2 positive 4th powers.at n=36A003336
- Primes of the form 2^a + 3^b.at n=45A004051
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=46A004831
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=22A014148
- Number of chord diagrams of degree n with an isolated chord.at n=6A018192
- Primes such that in p^2 the parity of digits alternates.at n=38A030145
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=28A031810
- Numbers k such that 221*2^k+1 is prime.at n=27A032487
- a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=40A046256
- Sizes of successive clusters in Z^4 lattice.at n=36A046895
- Molien series for group G_{1,2}^{8} of order 1536.at n=24A051462
- Sum of 4th powers of digits of n.at n=29A055013
- Number of points in Z^4 of norm <= n.at n=6A055410
- Number of points in Z^n of norm <= 6.at n=4A055430
- Number of Sophie Germain primes <= prime(2^n).at n=15A060200
- a(n) = 2^n + 9^n.at n=4A074604
- Numbers that can be represented as j^4 + k^4, with 0 < j < k, in exactly one way.at n=29A088687
- Primes of the form 6*p - 5 such that p and 6*p - 1 are primes.at n=31A090607
- First column of triangle A093922.at n=41A093924