6837
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9504
- Proper Divisor Sum (Aliquot Sum)
- 2667
- 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
- 4368
- Möbius Function
- -1
- Radical
- 6837
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of partitions of n into 10 unordered relatively prime parts.at n=34A023030
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 5).at n=57A035572
- Number of partitions of n into parts not of the form 13k, 13k+2 or 13k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 5 are greater than 1.at n=38A035950
- Row/column pre-periods of Sprague-Grundy values of Wythoff's Game.at n=35A046874
- Number of squares (of positive integers) with n digits.at n=7A049415
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 8.at n=34A051973
- Number of squares (including 0) with n digits.at n=7A062940
- Engel expansion for i^i = exp(-Pi/2).at n=6A083283
- Numbers n such that p(3n) is prime, where p(n) is the number of partitions of n.at n=36A111389
- Number of partitions of n which represent first player winning Chomp positions with multiple winning moves.at n=34A112473
- The number of primes between n and n^3 (with n and n^3 excluded).at n=40A117491
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+79)^2 = y^2.at n=8A118676
- a(n) = the largest number one can subtract from 10^n such that the square of the result is strictly greater than 10^(2*n-1).at n=3A128869
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1010-1111-0101 pattern in any orientation.at n=17A147432
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 1, 1), (1, -1, 0), (1, 0, -1)}.at n=8A149028
- Partial sums of A028388 good primes (version 2).at n=30A172166
- Number of n X n 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically.at n=3A206930
- Number of nX4 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically.at n=3A206932
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically.at n=24A206936
- Number of 4Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically.at n=3A206937