Properties of the Number 3283

Three Thousand Two Hundred Eighty-Three

Basics

Value: 3282 → 3283 → 3284

Parity: odd

Prime: No

Previous Prime: 3271

Next Prime: 3299

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 67

Divisors: 1, 7, 49, 67, 469, 3283

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011010011

Octal: 6323

Duodecimal: 1A97

Hexadecimal: cd3

Square: 10778089

Square Root: 57.29746940310715

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = 2·n² - 2·n + 3. A97080

a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023531, t = (Fibonacci numbers). A24318

a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023531, t = (F(2), F(3), ...). A24322

Numbers n such that (n⁹⁷+1)/(n+1) is prime. A260573

Smaller of two consecutive numbers of the form p²*q where p and q are distinct primes. A74172

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo (k+1). A200668

Number of integer partitions of n with all distinct lengths of maximal anti-runs (decreasing by more than 1). A384885

Values of k for which A075059(k) = A003418(k) + 1 is prime. A49537

Positive numbers whose product of digits is 9 times their sum. A62041

Numbers k with property that average digit of k² is s=5. A164774