13241
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13242
- 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
- 13240
- Möbius Function
- -1
- Radical
- 13241
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- 1574
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (5^k - 1)/4 is prime.at n=12A004061
- a(n) = floor(n*phi^16), where phi is the golden ratio, A001622.at n=6A004931
- Smallest prime containing n-th square as substring.at n=18A029948
- Smallest prime with "n^2" as central digit(s).at n=18A038370
- Numerators of continued fraction convergents to sqrt(329).at n=6A041620
- Parker's partition triangle T(n,k) read by rows (n >= 1 and 0 <= k <= n-1).at n=59A047812
- Primes p for which the period of reciprocal = (p-1)/8.at n=22A056213
- Smallest number m such that m^2+1 is divisible by A002144(n)^2 (= squares of primes congruent to 1 mod 4).at n=17A059321
- Smallest prime containing the n-th square in decimal notation.at n=17A065144
- Primes arising in A083762.at n=3A083763
- Row sums of triangle A115080.at n=7A115084
- a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36.at n=10A121888
- Transpose T(n,k) of Parker's partition triangle A047812 (n >= 1 and 0 <= k <= n-1).at n=61A136621
- Primes of the form 210n+11.at n=31A140840
- Numbers k such that (k,k+8) forms a pair of consecutive primes ending respectively in 1 and 9.at n=35A141026
- Primes congruent to 39 mod 41.at n=40A142236
- Primes congruent to 40 mod 43.at n=33A142289
- Primes congruent to 34 mod 47.at n=35A142385
- Primes congruent to 44 mod 53.at n=27A142574
- Primes congruent to 41 mod 55.at n=41A142630