13203
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
- 10
- Divisor Sum
- 19844
- Proper Divisor Sum (Aliquot Sum)
- 6641
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8748
- Möbius Function
- 0
- Radical
- 489
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=18A000339
- Number of nontrivial Baxter permutations of length 2n-1.at n=8A001185
- Numbers n such that n divides 2^n + 1.at n=15A006521
- Crystal ball sequence for D_7 lattice.at n=3A008360
- a(n) = p*(p-1)/2 for p = prime(n).at n=37A008837
- Numbers m such that m divides 10^m - 1.at n=16A014950
- Numbers k such that k | 5^k + 1.at n=43A015951
- Numbers k such that k | 8^k + 1.at n=18A015955
- Numbers k such that k | 11^k + 1.at n=20A015960
- Pseudo-powers to base 3: numbers k that are not powers of 3 such that k divides 2^k + 1.at n=6A016057
- Primitive pseudo-powers to base 3.at n=2A016058
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=29A023059
- a(n) = (2*n-1)*(4*n-1).at n=41A033567
- Dirichlet convolution of 3^(n-1) with itself.at n=8A034751
- Numerators of continued fraction convergents to sqrt(15).at n=8A041022
- Numerators of continued fraction convergents to sqrt(735).at n=2A042414
- Numbers k that divide 4^k + 2^k or 8^k + 4^k.at n=40A045577
- Numbers k that divide 5^k + 4^k.at n=32A045590
- Numbers k such that k | 6^k + 5^k + 4^k + 3^k + 2^k + 1^k.at n=44A056745
- Numbers n such that n | 6^n + 5^n + 4^n + 3^n.at n=14A057248