10530
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 30492
- Proper Divisor Sum (Aliquot Sum)
- 19962
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2592
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- a(n) = A026907(2*n, n).at n=5A026908
- T(n,[ n/2 ]), T given by A026907.at n=10A026914
- A convolution triangle of numbers obtained from A036068.at n=41A030524
- [ exp(14/19)*n! ].at n=6A030864
- Freestyle perfect numbers n = Product_{i=1,..,k} f_i^e_i where 1 < f_1 < ... < f_k, e_i > 0, such that 2n = Product_{i=1,..,k} (f_i^(e_i+1)-1)/(f_i-1).at n=41A058007
- Numbers j such that j and 2j are both between a pair of twin primes.at n=10A066388
- Numbers k such that k-1, k+1 and k^2+1 are prime numbers.at n=24A070155
- Ordered m for which m = k^3*a*b*(a^4 - b^4) determine (unique) solution triples(k,a,b), where k=1,2,3,... and (a,b) are coprime pairs, not both odd (i.e., of opposite parity).at n=15A081779
- a(n) = 6*a(n-1) + 3*a(n-2) for n > 2, a(0)=1, a(1)=6.at n=5A090018
- Numbers n divisible by exactly three nontrivial permutations (rearrangements) of the digits of n.at n=3A090058
- Integers that are Rhonda numbers to base 8.at n=3A100970
- a(4n+k) = (k+1)*binomial(5n+k,n)/(4n+k+1), k=0..3.at n=22A118968
- a(n) = 3*binomial(5n+2,n)/(4n+3).at n=5A118970
- Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005.at n=10A125016
- Numbers m such that m^4-1 has no divisors d with 1 < d < m-1.at n=25A129293
- G.f. A(x) satisfies A(x) = 1 + x*A(x)^3*A(-x)^2.at n=11A143546
- Averages of twin primes of the form : i^2+j^2, as sum of two squares.at n=22A143793
- 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, 0, 0), (-1, 0, 1), (0, 0, -1), (0, 1, 0), (1, -1, 1)}.at n=9A148464
- 3 times 10-gonal (or decagonal) numbers: a(n) = 3*n*(4*n-3).at n=30A152767
- Averages of twin prime pairs of A154546.at n=37A154548