10520
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23760
- Proper Divisor Sum (Aliquot Sum)
- 13240
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4192
- Möbius Function
- 0
- Radical
- 2630
- Omega Function (Ω)
- 5
- 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
- yes
- 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
- Multiples of 8 with digit sum 8.at n=29A069543
- Determinant of n X n matrix of form [1 2 3 0 0 0 0 0 0 0 / 2 1 2 3 0 0 0 0 0 0 / 3 2 1 2 3 0 0 0 0 0 / 0 3 2 1 2 3 0 0 0 0 / 0 0 3 2 1 2 3 0 0 0 / 0 0 0 3 2 1 2 3 0 0 / 0 0 0 0 3 2 1 2 3 0 / 0 0 0 0 0 3 2 1 2 3 / 0 0 0 0 0 0 3 2 1 2 / 0 0 0 0 0 0 0 3 2 1].at n=8A071533
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=17A085774
- Number of 1-sided strip polypons with n cells.at n=28A151532
- Number of 11 X 11 arrays of squares of integers, symmetric about the diagonal and under 90-degree rotation, with all rows summing to n.at n=43A156407
- Number of subsets of {1, 2, ..., n} containing n and having <=7 pairwise coprime elements.at n=38A186991
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 5.at n=33A210377
- Number of simple unlabeled graphs on n nodes with exactly 3 connected components that are trees or cycles.at n=13A215983
- Column 3 of array in A226513.at n=19A226514
- Number of distinct means of subsets of {1..n}, where {} has mean 0.at n=47A327474
- The number of regions inside a vesica piscis formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=11A341877
- Numbers m such that the product of m and the string m in reverse contains m as a substring.at n=30A342127
- Expansion of g.f. (x^4*(x^2 + 2*x + 3))/((x - 1)^4*(x + 1)*(x^2 + x + 1)).at n=41A349975
- Least b > 1 such that (b^(prime(n)^2) - 1)/(b^prime(n) - 1) is prime.at n=33A353101
- Records in A228407.at n=49A377925
- a(n) = prime(prime(prime(n))) - prime(prime(n)).at n=48A378027
- Numbers k such that k^2 + 1 is a Sophie Germain prime.at n=39A389884