8273
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8274
- 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
- 8272
- Möbius Function
- -1
- Radical
- 8273
- 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
- 158
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1038
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form 2^a + 3^b.at n=48A004051
- Sum along upward diagonal of Pascal triangle from halfway point.at n=20A010759
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=21A020382
- Fibonacci sequence beginning 8, 17.at n=14A022390
- a(n) = T(n, 2*n-10), T given by A027926.at n=10A027933
- a(n) = T(2*n+1, n+3), T given by A027935.at n=5A027943
- Primes of the form k^2 - 8.at n=20A028886
- 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 7.at n=23A031420
- Decimal part of n-th root of a(n) starts with digit 7.at n=15A034084
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.at n=4A037609
- Denominators of continued fraction convergents to sqrt(714).at n=11A042375
- Partial sums of A014166.at n=10A053739
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2, 3) = binomial(j+2, 3) + k^3, ordered by increasing i; sequence gives j values.at n=34A054222
- Primes p such that x^47 = 2 has no solution mod p.at n=24A059257
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=40A059331
- a(1) = 2; a(n+1) is obtained by writing a(n) in binary and trying to complement just one bit, starting with the least significant bit, until a new prime is reached.at n=11A059459
- Primes p = prime(k) such that prime(k) + prime(k+5) = prime(k+1) + prime(k+4) = prime(k+2) + prime(k+3).at n=29A064101
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=33A064975
- Record entries in A065191.at n=43A065192
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=38A067256