6826
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10242
- Proper Divisor Sum (Aliquot Sum)
- 3416
- 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
- 3412
- Möbius Function
- 1
- Radical
- 6826
- 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
- 18
- 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
- yes
- Odd
- no
Appears in sequences
- Number of alkyls C_{n+15} H_{2n+10} (Anthr.) with n carbon atoms.at n=7A000648
- Numbers that are the sum of 11 positive 8th powers.at n=13A003389
- Number of partitions of n into 3 or more parts.at n=30A004250
- a(n) = Fibonacci(n+2) + prime(n).at n=17A004399
- Numbers k such that the continued fraction for sqrt(k) has period 85.at n=5A020424
- a(n) = (5*4^n - 2)/3.at n=6A020989
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=40A031806
- Numbers with exactly five distinct base-9 digits.at n=30A031986
- a(n) = (10*n^3 - 9*n^2 + 2*n)/3 + 1.at n=13A034721
- Denominators of continued fraction convergents to sqrt(125).at n=6A041227
- Numbers whose base-2 representation has exactly 12 runs.at n=12A043579
- Numbers k such that floor(Pi^k) is prime.at n=7A059792
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=28A059954
- Number of conjugacy classes in the symmetric group S_n that have even number of elements.at n=30A060643
- Number of 132 and 213-avoiding derangements of {1,2,...,n}.at n=14A061547
- Square array read by antidiagonals of base n numbers written as 122...222 with k 2's (and a suitable interpretation for n=0, 1 or 2).at n=59A067763
- Centered 21-gonal numbers.at n=25A069178
- Numbers k such that A081252(m)/m^2 has a local maximum for m = k.at n=12A081254
- a(n) = (5*2^n + (-1)^n - 3)/3.at n=12A084170
- Inverse binomial transform of a math magic problem.at n=13A084214