Properties of the Number 4347

Four Thousand Three Hundred Forty-Seven

Basics

Value: 4346 → 4347 → 4348

Parity: odd

Prime: No

Previous Prime: 4339

Next Prime: 4349

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 23

Divisors: 1, 3, 7, 9, 21, 23, 27, 63, 69, 161

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1000011111011

Octal: 10373

Duodecimal: 2623

Hexadecimal: 10fb

Square: 18896409

Square Root: 65.93178292750773

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Number of n-node unrooted quartic trees; number of n-carbon alkanes C(n)H(2n+2) ignoring stereoisomers. A602

Number of partitions p of n such that (number of even numbers in p) = (number of odd numbers in p). A241638

Pentagonal numbers with even index. A49452

Concatenate the n-th and (n+1)st prime. A45533

Numbers m such that there are precisely 13 groups of order m. A292896

Number A(n,k) of compositions (ordered partitions) of 1 into exactly k·n+1 powers of 1/(k+1); square array A(n,k), n>=0, k>=0, read by antidiagonals. A294746

Number of ways to write 1 as ordered sum of n powers of 1/2, allowing repeats. A7178

Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime. A304712

Number of non-strict integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349795