10513
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10514
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10512
- Möbius Function
- -1
- Radical
- 10513
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1286
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=32A005471
- Numbers k such that the continued fraction for sqrt(k) has period 95.at n=6A020434
- Least inverse of A001390, or 0 if no inverse exists.at n=30A020638
- T(2n,n-2), T given by A026714.at n=5A026717
- Primes of the form j^2 + (j+1)^2.at n=26A027862
- Lower prime of a pair of consecutive primes having a difference of 16.at n=34A031934
- First member of a prime triple in a p^2 + p - 1 progression.at n=44A057324
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=40A068016
- Prime(n) and prime(n+2) use the same digits.at n=18A069794
- First prime after phi(prime(n)^2).at n=26A079477
- Downward vertical of triangular spiral in A051682.at n=24A081272
- G.f.: (1+x^3+x^4+x^5+x^6+x^9)/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)).at n=36A090491
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=28A090918
- Nontrivial Delannoy numbers that are primes.at n=27A101167
- a(n) = 8*n^2 + 4*n + 1.at n=36A102083
- Primes of the form 8*n^2 + 4*n + 1.at n=13A102130
- Indices of prime generalized tetranacci numbers, A073817.at n=23A104577
- Sum of the cubes of the first n cubefree numbers.at n=13A114286
- Smallest prime p such that p divides m^(m+1)+1, where m = (p-2n-1)/(2n).at n=35A123571
- Centered square numbers that are prime powers of the form (4n+1)^k.at n=28A133322