6824
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12810
- Proper Divisor Sum (Aliquot Sum)
- 5986
- 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
- 3408
- Möbius Function
- 0
- Radical
- 1706
- Omega Function (Ω)
- 4
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 12 positive 7th powers.at n=38A003379
- Numbers that are the sum of 9 nonzero 8th powers.at n=11A003387
- 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 41.at n=21A031539
- Shifts left under "DFJ" (bracelet, size, labeled) transform.at n=8A032213
- Shifts left under "EFJ" (unordered, size, labeled) transform.at n=8A032301
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=21A045288
- Totient of the Woodall numbers (A003261), n*2^n -1.at n=9A056821
- Diagonal of triangular spiral in A051682.at n=38A081270
- Sum of the first n twin prime pairs.at n=21A086169
- Even elements of A085493.at n=12A106431
- Number of unordered pairs of partitions of n (into distinct parts) with empty intersection.at n=28A108796
- Last entry (and high point) in segment n of A079051.at n=32A117516
- Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that have k double rises above the x-axis (n >= 1, k >= 0).at n=39A118964
- Numbers n such that n^k+(n+1)^k is prime for k = 1, 2, 4.at n=40A128780
- Numerator of z-sequence for the Sheffer (Appell type) triangle A134832 (circular succession numbers).at n=8A135808
- Inverse binomial transform of A144472.at n=12A145593
- 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, 1), (-1, 1, 0), (0, 1, -1), (1, -1, 1), (1, 0, 0)}.at n=9A148253
- 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, -1), (-1, -1, 0), (0, 1, 1), (1, 0, 1), (1, 1, -1)}.at n=7A150273
- 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, 1, 1), (1, 0, -1), (1, 0, 0), (1, 1, 0)}.at n=7A150379
- Square array of coefficients in the successive iterations of x*C(x) = (1-sqrt(1-4*x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals.at n=42A158825