10364
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 7780
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5180
- Möbius Function
- 0
- Radical
- 5182
- Omega Function (Ω)
- 3
- 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
- 55
- 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 k such that the continued fraction for sqrt(k) has period 96.at n=21A020435
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=46A026052
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=43A027419
- Starting from generation 6 add previous and next term yielding generation 7.at n=37A048453
- a(n) = floor(47*(n-3/2)^(3/2)).at n=36A050256
- Number of connected 3-multigraphs on n nodes.at n=4A053466
- Numbers n such that phi((prime(n)+1)/2)=sigma(n).at n=28A068473
- Numbers k such that 4*k! + 1 is prime.at n=25A076680
- a(n) = A077708(n+1)/A077708(n).at n=11A077709
- Triangle read by rows: T(n,k) = number of Schroeder (or royal) n-paths (A006318) containing k returns to the diagonal y=x. (A northeast step lying on y=x contributes a return.)at n=29A108891
- T(n,k) is the number of order-decreasing and order-preserving partial transformations (of an n-chain) of waist k (waist(alpha) = max(Im(alpha))).at n=43A145035
- Expansion of ((1-x)/(1-2x))^8.at n=6A169795
- Triangle T(n,k), read by rows, given by [0,1,2,1,2,1,2,1,2,1,2,...] DELTA [2,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.at n=38A172040
- The sum over all bitstrings b of length n with at least two runs of the number of runs in b not immediately followed by a longer run.at n=10A208903
- The integers floor((1.1)^k(n))/floor((1.1)^n) arising in A069751, where k(n) = A069751(n).at n=50A215975
- Number of (n+1) X (2+1) 0..1 arrays colored with the sum of the upper and lower median values of each 2 X 2 subblock.at n=14A236324
- Number of partitions p of n such that the number of parts having multiplicity 1 is a part or max(p) - min(p) is a part.at n=35A241451
- Indices of record values in A246785.at n=15A246790
- Number of length 3+1 0..n arrays with the sum of the squares of adjacent differences multiplied by some arrangement of +-1 equal to zero.at n=34A250278
- Expansion of (x-1)/8 - (x^2-4*x-1)/(8*sqrt(x^2-6*x+1)).at n=7A261207