Properties of the Number 7097

Seven Thousand Ninety-Seven

Basics

Value: 7096 → 7097 → 7098

Parity: odd

Prime: No

Previous Prime: 7079

Next Prime: 7103

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 47 × 151

Divisors: 1, 47, 151, 7097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110111001

Octal: 15671

Duodecimal: 4135

Hexadecimal: 1bb9

Square: 50367409

Square Root: 84.2436941260294

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

When expressed in base 2 and then interpreted in base 9, is a multiple of the original number. A62850

a(n) = floor(4ⁿ/(2 + sqrt(2))ⁿ). A240572

Number of positive integers that are not the sum of distinct n-th-order polygonal numbers. A25524

a(n) = n³ + 3·n + 3ⁿ. A220509

Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude. A102532

Some numbers of the form 2·x³ + y³ + z³ found by a certain algorithm. A195006

a(n) = A238823(n) - A238826(n). A238829

Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p). A239954

T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with each row and column divisible by 11, read as a base-7 number with top and left being the most significant digits. A263672

G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - x * (1 + x + x²) * A(x³))). A367714