Properties of the Number 8197

Eight Thousand One Hundred Ninety-Seven

Basics

Value: 8196 → 8197 → 8198

Parity: odd

Prime: No

Previous Prime: 8191

Next Prime: 8209

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 1171

Divisors: 1, 7, 1171, 8197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000000000101

Octal: 20005

Duodecimal: 48B1

Hexadecimal: 2005

Square: 67190809

Square Root: 90.53728513711906

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 that are the sum of 9 positive 11th powers. A4820

a(n) = 2ⁿ + 5. A168614

Number of regions among all distinct circles that can be constructed from an n X n square grid of points using only a compass. A359933

Numbers 1 through 10000 sorted lexicographically in binary representation. A190126

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=max(0,n-3), read by rows. A231384

Numbers n such that primorial(n)/2 - 64 is prime. A139448

Number of partitions p of n such that median(p) < multiplicity(min(p)). A240212

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) <= number of distinct parts of p. A241819

Array read by antidiagonals: T(m,n) is the number of maximal independent sets in the m X n king graph. A332347

Number of integer partitions of n containing all of their own nonzero first differences. A364674