10465
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 5663
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 1
- Radical
- 10465
- 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
- 130
- 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
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=12A013594
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=9A013594
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=10A013594
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=13A013594
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=11A013594
- Odd heptagonal numbers (A000566).at n=32A014637
- Pseudoprimes to base 24.at n=37A020152
- a(n) = n*(31*n-1)/2.at n=26A022288
- Denominator of Bernoulli(2n+2) - Bernoulli(2n).at n=11A029763
- a(n) = (2*n + 1)*(5*n + 1).at n=32A033571
- Multiplicity of highest weight (or singular) vectors associated with character chi_19 of Monster module.at n=38A034407
- Distinct numbers in writing first numerator and then denominator of each element of the 1/4-Pascal triangle (by row).at n=54A046570
- Distinct odd numbers in the numerators of the 1/4-Pascal triangle (by row).at n=46A046586
- Distinct numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/4-Pascal triangle (by row).at n=52A046588
- Numerators of the elements to the right of the central elements of the 1/4-Pascal triangle (by row), excluding 1's.at n=51A046590
- Numbers n such that the cyclotomic polynomial of order n has a nonzero coefficient which does not appear in any cyclotomic polynomials of lower order.at n=12A046887
- Denominators of column 3 of table described in A051714/A051715.at n=21A051721
- Terms of A050530 with four prime divisors.at n=3A053340
- Expansion of Product_{n>=1} (1+x^n)^prime(n).at n=13A061152
- Numbers k such that prime(k) + prime(k+1)*2 is a square.at n=22A064504