Properties of the Number 8393

Eight Thousand Three Hundred Ninety-Three

Basics

Value: 8392 → 8393 → 8394

Parity: odd

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 11 × 109

Divisors: 1, 7, 11, 77, 109, 763, 1199, 8393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011001001

Octal: 20311

Duodecimal: 4A35

Hexadecimal: 20c9

Square: 70442449

Square Root: 91.61331780914826

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

Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities). A45940

a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes. A66509

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p that are < p/2. A282721

a(n) = n*(n+1)*(5·n + 4)/6. A162147

Sum of largest parts of all partitions of n into an even number of parts. A222048

Sets of 4 consecutive numbers with equal number of divisors. A39665

Let Oc(n) = A005900(n) = n-th octahedral number. Consider all integer triples (i,j,k), j >= k > 0, with Oc(i) = Oc(j)+Oc(k), ordered by increasing i; sequence gives k values. A53678

Average of terms of n-th row of A077321. A77325

a(n) is the permanent of the symmetric Toeplitz matrix of order n whose element (i,j) equals the |i-j|-th composite or 1 if i = j. A374069

G.f.: ∑_k>=0 x^k * ∏_j=1..6·k (1 + x^j)/(1 - x^j). A385092