6956
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 5812
- 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
- 3312
- Möbius Function
- 0
- Radical
- 3478
- Omega Function (Ω)
- 4
- 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
- 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
- Total number of triangles visible in regular n-gon with all diagonals drawn.at n=9A006600
- Coordination sequence for CaF2(1), Ca position.at n=28A009923
- Apply partial sum operator thrice to primes.at n=14A014150
- Number of terms in n-th derivative of a function composed with itself 6 times.at n=9A022814
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=44A026042
- Character of extremal vertex operator algebra of rank 37/2.at n=3A028542
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=26A038666
- Denominators of continued fraction convergents to sqrt(781).at n=11A042507
- Matrix 6th power of partition triangle A008284.at n=36A050300
- a(n) = (sum of first n primes)^2 + sum of (squares of first n primes).at n=7A065762
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=35A071319
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=27A080392
- Number of (nonisomorphic) connected bipartite graphs with minimum degree at least 2 and with n vertices.at n=10A088974
- a(n) = 5*n^2 + 3*n.at n=36A126264
- Row sums of triangle A131819.at n=26A131820
- Arises in saturation points of a rational polyhedral cone.at n=6A138571
- 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, 1), (0, 0, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150479
- Triangle T(n,k) = T(n-1, k) + T(n-1, k-1) + 7*T(n-2, k-1), read by rows.at n=25A153520
- Triangle T(n,k) = T(n-1, k) + T(n-1, k-1) + 7*T(n-2, k-1), read by rows.at n=23A153520
- (1, 4, 7, 10, 13, ...) convolved with (1, 0, 4, 7, 10, 13, ...); given A016777 = (1, 4, 7, 10, 13, ...).at n=17A179905