6737
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6738
- 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
- 6736
- Möbius Function
- -1
- Radical
- 6737
- 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
- 181
- 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
- 869
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=9A020388
- 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 5.at n=34A031418
- Number of ternary rooted trees with n nodes and height exactly 5.at n=16A036420
- Triangle of coefficients of generating function of ternary rooted trees of height exactly n.at n=63A036437
- Primes q of form q=10p+7, where p is also prime.at n=31A055783
- Number of 2-connected rooted cubic planar maps with n faces.at n=5A058860
- Primes > 100 in which every substring of length 2 is also prime.at n=41A069488
- Take A000040, omit commas: 23571113171923..., select 4-digit primes seen when scanning from left.at n=40A073037
- Primes associated with groups in A076077.at n=21A076076
- Smallest k such that n^k - k is a prime, or 0 if no such number exists.at n=44A084746
- Primes appearing as the concatenation of the last two digits of prime(A086102(n)) and the first two digits of prime(A086102(n)+1).at n=10A086103
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=27A086499
- Primes p = prime(n) such that p + sum-of-digits(p) +- 1 = prime(n+1).at n=35A090180
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=32A090609
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=23A090918
- Primes p such that q-p = 24, where q is the next prime after p.at n=8A098974
- Primes of the form 37n+3.at n=27A100203
- Primes p such that both 2p + 3 and 4p + 5 are primes.at n=41A105691
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 8.at n=17A109562
- Primes whose SOD and that of their indices are both prime and equal (indices may not be prime, but their SOD must be prime).at n=25A117477