10558
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15840
- Proper Divisor Sum (Aliquot Sum)
- 5282
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5278
- Möbius Function
- 1
- Radical
- 10558
- Omega Function (Ω)
- 2
- 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
- 78
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=20A003274
- Number of protruded partitions of n with largest part at most 10.at n=14A005116
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=22A031824
- Numbers n such that 9*10^n + 6*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=18A103104
- Semiprimes in A033951.at n=16A113691
- Coefficient of x^2 in the polynomial (x-p(n))*(x-p(n+1))*(x-p(n+2))*(x-p(n+3)), where p(k) is the k-th prime.at n=11A127348
- Number of n X n binary arrays with all ones connected only in a 3X3 tee 1,1 1,2 1,3 2,2 3,2 in any orientation.at n=6A146006
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 3X3 tee 1,1 1,2 1,3 2,2 3,2 in any orientation.at n=15A146008
- Numbers k such that k, k^2 - 5, and k^2 + 5 are semiprime.at n=43A173085
- Number of (n+1) X 2 binary arrays with no 2 X 2 subblock commuting with any of its horizontal and vertical 2 X 2 subblock neighbors.at n=6A187721
- Number of (n+1)X8 binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=0A187727
- T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=21A187729
- T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors.at n=27A187729
- Number of nondecreasing arrangements of 10 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four.at n=40A189333
- Number of partitions p of n such that mean(p) < multiplicity(min(p)).at n=37A240203
- Number of partitions p of n such that mean(p) <= multiplicity(min(p)).at n=37A240204
- Number of partitions of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is not a part.at n=38A241411
- Indices of octagonal numbers (A000567) that are also centered heptagonal numbers (A069099).at n=6A254855
- Least k such that primorial(n) divides binomial(2k,k).at n=33A267823
- Least k such that primorial(n) divides binomial(2k,k).at n=34A267823