6775
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
- 6
- Divisor Sum
- 8432
- Proper Divisor Sum (Aliquot Sum)
- 1657
- 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
- 5400
- Möbius Function
- 0
- Radical
- 1355
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=41A020391
- Expansion of Product_{m>=1} (1+q^m)^(-5).at n=18A022600
- Numbers with exactly five distinct base-9 digits.at n=13A031986
- Concatenation of n-th prime number and n-th lucky number.at n=18A032603
- Number of positive integers <= 2^n of form 5 x^2 + 5 y^2.at n=17A054175
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 101-111-100 pattern in any orientation.at n=14A146192
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1000-1000-1111 pattern in any orientation.at n=10A147094
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1000-1000-1111 pattern in any orientation.at n=22A147096
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1000-1000-1111 pattern in any orientation.at n=23A147096
- a(n) = 242*n - 1.at n=27A157961
- a(n) = 484*n - 1.at n=13A158330
- a(n) = 14*n^2 - 1.at n=21A158485
- a(n) = 56*n^2 - 1.at n=10A158658
- Numbers of the form 12n+7 for which Sum_{i=0..(4n+2)} J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol.at n=20A165463
- Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n.at n=29A241526
- T(n, k) is the number of k-element connected subposets of the n-th Boolean lattice, 0 <= k <= 2^n.at n=25A270952
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 521", based on the 5-celled von Neumann neighborhood.at n=19A272736
- The number of partitions of n which represent Chomp positions with Sprague-Grundy value 8.at n=50A284781
- Number of integer partitions of n containing their multiset of multiplicities (as a submultiset).at n=45A325702
- Reversal of base-n digits of largest prime < n^3.at n=20A329931