Properties of the Number 7209

Seven Thousand Two Hundred Nine

Basics

Value: 7208 → 7209 → 7210

Parity: odd

Prime: No

Previous Prime: 7207

Next Prime: 7211

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 89

Divisors: 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1110000101001

Octal: 16051

Duodecimal: 4209

Hexadecimal: 1c29

Square: 51969681

Square Root: 84.90583018850944

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

Iterate the map in A006368 starting at 8. A28393

Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A68679

Trajectory of 13 under map n->A006368(n). A180864

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

Sum of all the parts in the partitions of n into 10 parts. A326588

T(n,k) = Number of (n+2) X (k+2) binary arrays with no more than one of any consecutive three bits set in any row or column. A202421

Numbers with 10 odd divisors. A267893

S₅ sequence in partition of integers > 1 described in A240521. A240522

a(0)=1, a(1)=1, a(n) = 9·a(n/2) for even n >= 2, and a(n) = 8·a((n-1)/2) + a((n+1)/2) for odd n >= 3. A116526

Second bisection of A061041: a(n) = A061041(2n+1) = (2·n+1)*(2·n+9). A145923