Properties of the Number 14797

Fourteen Thousand Seven Hundred Ninety-Seven

Basics

Value: 14796 → 14797 → 14798

Parity: odd

Prime: Yes

Previous Prime: 14783

Next Prime: 14813

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 14797

Divisors: 1, 14797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100111001101

Octal: 34715

Duodecimal: 8691

Hexadecimal: 39cd

Square: 218951209

Square Root: 121.64292005702592

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) = ∑_k=1..n lcm(k,n)/gcd(k,n). A56789

Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of distinct nonzero rows with column sums n. A331568

Numerators of coefficients for numerical integration. A2195

Numbers k such that (3^k + 7^k)/10 is prime. A128067

Number of compositions (ordered partitions) of n into distinct squarefree parts. A331846

Primes whose sum of digits is the perfect number 28. A48517

Number of partitions of n such that (number parts having multiplicity 1) is not a part and (number of 1s) is a part. A241507

G.f.: 1/(1 - x²/(1 - x³/(1 - x⁵/(1 - x⁷/(1 - x¹¹/(1 - ... - x^prime(k)/(1 - ... ))))))), a continued fraction. A285407

Number of nonnegative integer matrices with n columns and any number of distinct nonzero rows with column sums 2. A331644

First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54808