Properties of the Number 4797

Four Thousand Seven Hundred Ninety-Seven

Basics

Value: 4796 → 4797 → 4798

Parity: odd

Prime: No

Previous Prime: 4793

Next Prime: 4799

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 41

Divisors: 1, 3, 9, 13, 39, 41, 117, 123, 369, 533

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001010111101

Octal: 11275

Duodecimal: 2939

Hexadecimal: 12bd

Square: 23011209

Square Root: 69.26037828369117

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) = 3·n² + 6·n. A67725

a(n) = T(n, n-2), where T is given by A026519. Also number of integer strings s(0), ..., s(n), counted by T, such that s(n) = 2. A26522

a(n) = ∑_k=0..2n-2 T(n,k) * T(n,k+2), with T given by A026519. A27264

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having pyramid weight k. A91866

a(n) = d if the point (d,d) is shared by a record of different Dyck paths in the main diagonal of the diagram of the symmetries of σ described in A237593. A279286

Number of modes of connections of 2n points. A6605

Smallest Rhonda number to base b = n-th composite number, A002808(n). A255872

Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime. A69832

Least k such that 3^k has exactly n consecutive 8's in its decimal representation. A131545

-3-Knödel numbers. A225507