11284
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25088
- Proper Divisor Sum (Aliquot Sum)
- 13804
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 5642
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Probable extension of A013704.at n=19A025495
- Numbers that, when expressed in base 6 and then interpreted in base 10, yield a multiple of the original number.at n=7A032546
- Theta series of A2[hole]^4.at n=31A033690
- Distinct even numbers in the numerators of the 1/3-Pascal triangle (by row).at n=34A046559
- Distinct even numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/3-Pascal triangle (by row).at n=27A046562
- Theta series of 14-dimensional lattice M14,3 with minimal norm 6.at n=6A047636
- Numbers m such that 2*phi(m) = phi(m+1).at n=16A050472
- Triangle T(n,k) (n >= 2, k = 3..n+floor(n/2)) giving number of bicoverings of an n-set with k blocks.at n=20A059443
- Number of 4-block bicoverings of an n-set.at n=6A059945
- Numbers k that, when expressed in base 6 and then interpreted in base 10, give a multiple of k.at n=8A062942
- Sum of terms of n-th row of A077321.at n=13A077324
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 6.at n=28A091774
- Triangular matrix T, read by rows, that satisfies: T^3 + 3T^2 + 3T = SHIFTUP(T), also T^(n+2) + 3T^(n+1) + 3T^n = SHIFTUP(T^n - D*T^(n-1)) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}.at n=18A103237
- a(1)=1. a(n) = a(n-1)th integer from among those positive integers which do not occur earlier in the sequence and which are coprime to n.at n=14A121219
- First differences (A131771) equal this sequence with terms repeated at positions: {m*(m+1)/2, m>=0}.at n=24A131770
- First differences (A131772) equal this sequence with zeros inserted at positions {m*(m+1)/2, m>=0}.at n=30A131771
- Partial sums (A131771) equal this sequence excluding zeros located at positions {m*(m+1)/2, m>=0}, with a(0)=1.at n=37A131772
- 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), (0, 0, 1), (1, -1, -1), (1, 1, -1)}.at n=10A148226
- 4 times octagonal numbers: a(n) = 4*n*(3*n-2).at n=31A153794
- Number of ways to place k non-attacking knights on an n x n cylindrical chessboard, summed over all k >= 0.at n=4A182407