1013
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1014
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1012
- Möbius Function
- -1
- Radical
- 1013
- 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
- 111
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 170
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018).at n=10A000295
- a(n) = ceiling(n^2/2).at n=45A000982
- Primes with 3 as smallest primitive root.at n=40A001123
- Squares written in base 6.at n=15A001741
- Centered square numbers: a(n) = 2*n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values.at n=22A001844
- a(n) = n^2 + prime(n).at n=29A004232
- Divisible only by primes congruent to 5 mod 7.at n=43A004623
- Primes written in base 4.at n=19A004678
- Class 4- primes (for definition see A005109).at n=22A005112
- Sophie Germain primes p: 2p+1 is also prime.at n=37A005384
- Primitive prime factors of the sequence k^2 + 1 (A002522) in the order that they are found.at n=31A005529
- Mu-molecules in Mandelbrot set whose seeds have period n.at n=10A006876
- Inverse Moebius transform of Fibonacci numbers 1,1,2,3,5,8,...at n=15A007435
- Primes of the form 8k + 5.at n=43A007521
- n written in base where place values are positive squares.at n=22A007961
- Coordination sequence T2 for Zeolite Code APC.at n=22A008033
- Coordination sequence T1 for Zeolite Code DDR.at n=20A008071
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=24A008110
- Coordination sequence T2 for Banalsite.at n=19A008250
- Triangle of Eulerian numbers T(n,k) (n >= 1, 1 <= k <= n) read by rows.at n=46A008292