6449
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
- 6450
- 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
- 6448
- Möbius Function
- -1
- Radical
- 6449
- 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
- 62
- 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
- 837
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=34A007700
- E.g.f.: cosh(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+40/5!*x^5...at n=8A013319
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=33A015636
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=29A015698
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among pairs.at n=29A015699
- Numbers k such that the continued fraction for sqrt(k) has period 83.at n=1A020422
- Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=10A023272
- Discriminants of quintic fields with 4 complex conjugates.at n=36A023685
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026692.at n=12A026700
- Expansion of (1+x^2-x^3)/(1-x)^4.at n=31A027378
- Primes that are palindromic in base 7.at n=23A029975
- Primes p such that digits of p appear in p^2 and p^3.at n=36A030085
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 22.at n=2A031610
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=31A031806
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=18A046928
- Primes resulting from procedure described in A048388.at n=11A048389
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=21A050666
- Primes whose digits are composite; primes having only {4, 6, 8, 9} as digits.at n=7A051416
- Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6*n.at n=16A052350
- Primes p such that x^31 = 2 has no solution mod p.at n=25A059225