Properties of the Number 7443

Seven Thousand Four Hundred Forty-Three

Basics

Value: 7442 → 7443 → 7444

Parity: odd

Prime: No

Previous Prime: 7433

Next Prime: 7451

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 827

Divisors: 1, 3, 9, 827, 2481, 7443

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110100010011

Octal: 16423

Duodecimal: 4383

Hexadecimal: 1d13

Square: 55398249

Square Root: 86.27282306729043

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

Number of subsets of {1..n} with all distinct lengths of maximal anti-runs (increasing by more than 1). A384177

Number of integer partitions of n whose sum of primes of parts is divisible by n. A331379

Positions of 5's on the spiral defined in A308890. A308895

Compound filter (summands of A004001 & summands of A005185): a(n) = P(A286541(n), A286559(n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = a(2) = 0. A286560

G.f. satisfies: x = ∑_n>=1 1/A(x)^4·n * ∏_k=1..n (1 - 1/A(x)^k). A181998

Numbers k such that both k and the k-th prime have nonincreasing digits. A116067

Indices of primes in the 7th-order Fibonacci number sequence, A060455. A253318

Sum of the largest parts in the partitions of n into 5 squarefree parts. A308845

n plus a googol is prime. A49014

a(n) = 121·n² - 38·n + 3. A157443