7349
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7350
- 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
- 7348
- Möbius Function
- -1
- Radical
- 7349
- 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
- 132
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 936
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 2^(2k+1) + 2^(k+1) + 1 is prime.at n=12A006599
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=37A007700
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=58A013583
- Numbers k such that the continued fraction for sqrt(k) has period 67.at n=7A020406
- a(n) = Sum_{k=floor((n+2)/2)..n} T(n, k), T given by A026998.at n=11A027009
- a(n) = Sum_{k=1..n+1} A027960(n+1, n+1+k).at n=10A027974
- Duplicate of A027974.at n=10A027983
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=26A031419
- Upper prime of a difference of 16 between consecutive primes.at n=24A031935
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5).at n=31A039842
- Prime numbers that are the sum of the first k lucky numbers, A046279(k), for some k.at n=5A046281
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=13A051964
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=19A059762
- Smaller of twin primes whose middle term is a multiple of A002110(4)=210.at n=8A060230
- A B_2 sequence: a(n) is the smallest prime such that the pairwise sums of distinct elements are all distinct.at n=41A062294
- Primes p such that p^6 + p^3 + 1 is prime.at n=39A066100
- Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+5), n>=0.at n=8A067983
- Take A000040, omit commas: 23571113171923..., select 4-digit primes seen when scanning from left.at n=35A073037
- a(n) is the n-th prime == 1 (mod n).at n=43A077317
- a(n) = smallest prime > n*prime(n).at n=40A079779