13709
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13710
- 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
- 13708
- Möbius Function
- -1
- Radical
- 13709
- 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
- 32
- 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
- 1621
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=27A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=27A007708
- Numbers k such that the continued fraction for sqrt(k) has period 75.at n=11A020414
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=29A035790
- Primes prime(k) for which A049076(k) = 3.at n=38A049079
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=19A051964
- Prime number spiral (clockwise, South spoke).at n=20A054566
- Lesser of irregular twin primes.at n=39A060012
- Lowest primes in twin packs.at n=36A069457
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=39A079292
- Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.at n=33A087373
- "Secondary twin primes": a(n) = A006450(A096477(n)).at n=32A096479
- Terms in A112039 that are divisible by 3, divided by 3.at n=23A112040
- a(n) is the least prime such that the subsets of { a(1), ..., a(n) } sum up to 2^n different values.at n=13A138000
- Primes of the form 210k + 59.at n=33A140852
- Primes congruent to 15 mod 41.at n=35A142212
- Primes congruent to 35 mod 43.at n=38A142284
- Primes congruent to 32 mod 47.at n=34A142383
- Primes congruent to 38 mod 49.at n=36A142446
- Primes congruent to 35 mod 53.at n=30A142565