10065
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 7791
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 1
- Radical
- 10065
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=39A014865
- a(n) = (d(n)-r(n))/2, where d = A026046 and r is the periodic sequence with fundamental period (0,1,0,1).at n=35A026047
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=33A051873
- a(n) = A083964(n)/(2n-1).at n=25A083965
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=21A084048
- Numbers k such that k^2 divides 16^k-1.at n=46A128396
- Expansion of x^k/Product_{t=k..2k} (1-tx) for k=9.at n=11A143404
- Expansion of 1/(1-x-x^2+x^9-x^11).at n=20A147660
- Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 5.at n=28A152943
- Numbers n such that n^3 - 4 and n^3 + 4 are prime.at n=38A161589
- Partial sums of A002503.at n=41A176358
- E.g.f.: A(x) = Sum_{n>=0} (1/n!)*Product_{k=0..n-1} L(3^k*x), where L(x) is the e.g.f. of A177780.at n=4A177779
- Imbalance of the number of partitions of n.at n=46A194795
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of them is the range of {w,x,y,z}.at n=11A212746
- Triangle T(n,k) represents the coefficients of (x^11*d/dx)^n, where n=1,2,3,...at n=18A223513
- Sequence of distinct least positive numbers such that the average of the first n terms is a cube.at n=21A245624
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.at n=28A271459
- Numbers k such that {k + 2, k + 4} and {k^3 + 2, k^3 + 4} are twin prime pairs.at n=8A284058
- p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - S^2 - S^4.at n=15A291400
- a(n) is the smallest positive integer k such that 3^n+2 divides 3^(n+k)+2.at n=11A298827