6473
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6474
- 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
- 6472
- Möbius Function
- -1
- Radical
- 6473
- 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
- 124
- 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
- 840
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of ways to represent n using the binary operator a * b = 2^a + b.at n=15A000630
- Positions of remoteness 4 in Beans-Don't-Talk.at n=27A005696
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=15A020382
- Primes that are decimal concatenations of n with n + 9.at n=11A032632
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=16A054824
- Numbers k such that 3*2^k + 5 is prime.at n=44A057913
- Reversion of y - y^2 - y^3 + y^4 + y^5.at n=9A063032
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=12A065117
- Number of fixed polyominoes with n cells and tree-like structure.at n=8A066158
- Zero-based position of the least significant (rightmost) zero bit in the bit-masks A068222 (A068224).at n=43A068058
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=38A068896
- Least k such that prime(k) >= k*tau(k*n) where tau = A000005.at n=15A074811
- Primes p such that sum of even digits of p equals sum of odd digits of p.at n=29A076167
- Balanced primes of order two.at n=34A082077
- a={1,3,7,9} b[n]=Prime[n]*10+a[[4-Mod[n,4]]] c(m) =if b[n] is prime then b[n].at n=39A089686
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=26A100558
- Primes from merging of 4 successive digits in decimal expansion of exp(2).at n=37A105000
- Primes of the form 5x^2+4xy+5y^2, with x and y nonnegative.at n=40A106971
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=19A113156
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=14A119595