12049
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
- 2
- Divisor Sum
- 12050
- 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
- 12048
- Möbius Function
- -1
- Radical
- 12049
- 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
- 42
- 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
- 1444
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = prime(n^2).at n=37A011757
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=33A025025
- a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.at n=12A027382
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 88 ones.at n=5A031856
- a(1) = 2; a(n) = smallest prime > a(n-1) such that the sum of any three nondecreasing terms, chosen from a(1), ..., a(n-1) and a(n), is unique.at n=17A060276
- Primes with 13 as smallest positive primitive root.at n=29A061326
- Primes p such that q-p = 22, where q is the next prime after p.at n=22A061779
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=41A068016
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=30A095651
- a(1) = 668; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=38A105212
- Odd numbers n for which 13 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.at n=38A112076
- Primes p such that p+1, p+2 and p+3 have equal number of divisors.at n=15A119711
- Coefficients of Taylor series expansion of the operad Prim L.at n=8A121545
- Cyclops primes.at n=28A134809
- Primes of the form x^2 + 840*y^2.at n=28A139665
- Primes of the form x^2 + 1320*y^2.at n=31A139666
- Primes of the form x^2 + 1848*y^2.at n=32A139668
- Primes of the form 2*3*5*7*n+79.at n=28A141563
- Primes congruent to 24 mod 37.at n=40A142133
- Primes congruent to 36 mod 41.at n=34A142233