13033
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
- 13034
- 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
- 13032
- Möbius Function
- -1
- Radical
- 13033
- 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
- 156
- 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
- 1552
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primorial -1 primes: primes p such that -1 + product of primes up to p is prime.at n=16A006794
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=32A013643
- Primes that are palindromic in base 9.at n=28A029977
- Erroneous version of A006794.at n=15A055511
- Determinant of n X n Hankel matrix whose entries are t(i+j), 0 <= i, j < n, where t is the Thue-Morse sequence.at n=28A056887
- Distinct (non-overlapping) twin Harshad numbers whose sum is prime.at n=42A060288
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=18A065044
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=19A078852
- a(n) is the least prime beginning with prime(n) such that the concatenation a(1)a(2)...a(n) is a prime.at n=5A090510
- Primes arising as A093929(n)*A093929(n+1)+2.at n=34A093930
- Prime(p)-4 for primes p such that prime(p) - 4 is prime.at n=33A094069
- A modified Fibonacci sequence controlled by a toggle switch. The toggle switch (initial state of 2) flips between 2 and 3 after each reduction.at n=44A096016
- Prime numbers which when written in base 7 have a composite digit-sum.at n=7A096790
- Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=16A109748
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=20A126720
- a(n) is the n-th prime of the form x^2+n.at n=36A128968
- Cyclops primes.at n=32A134809
- Prime numbers p such that p +- ((p-1)/3) are primes.at n=12A137703
- a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + Sum_{j=1..2^m} a(j).at n=40A139485
- Primes of the form 210n + 13.at n=31A140841