5009
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5010
- 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
- 5008
- Möbius Function
- -1
- Radical
- 5009
- 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
- 90
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 671
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=18A001275
- Coordination sequence T11 for Zeolite Code MFI.at n=45A008163
- Numbers k such that the continued fraction for sqrt(k) has period 71.at n=1A020410
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-6).at n=21A023436
- n written in fractional base 10/5.at n=49A024660
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=35A033548
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=14A035790
- Primes with first digit 5.at n=18A045711
- First of four consecutive primes that comprise two sets of twin primes.at n=24A053778
- Primes p for which the period of reciprocal = (p-1)/8.at n=11A056213
- Numbers n such that 1n1, 3n3, 7n7 and 9n9 are all primes.at n=10A059677
- Primes p such that 1p1, 3p3, 7p7 and 9p9 are all primes.at n=3A059694
- Smaller member of a twin prime pair whose mean is a multiple of A002110(3)=30.at n=39A060229
- Between p and the next prime either there are no numbers or there is a single squarefree number.at n=39A061351
- Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=19A067062
- Lowest primes in twin packs.at n=19A069457
- Primes all of whose internal digits (if any) are 0.at n=47A069675
- The sum of the sequence starting with prime(n) and having prime sum defined in A071194, or -1 if no such sequence exists.at n=41A071196
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (6,2).at n=27A073651
- a(n)=A074639(A074647(n)).at n=27A074648