Properties of the Number 54829

Fifty-Four Thousand Eight Hundred Twenty-Nine

Basics

Value: 54828 → 54829 → 54830

Parity: odd

Prime: Yes

Previous Prime: 54799

Next Prime: 54833

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 54829

Divisors: 1, 54829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011000101101

Octal: 153055

Duodecimal: 27891

Hexadecimal: d62d

Square: 3006219241

Square Root: 234.15593095200472

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(1) = 2; a(n) is smallest prime > 3·a(n-1). A76656

Let A = A025584. a(n) is the smallest A(m) such that the interval (A(m)*n, A(m+1)*n) contains no primes from A. A207820

a(n) = first prime of the A342444(n) consecutive primes summing to A342443(n). A342454

Array: each row starts with the least prime not in a previous row, and each prime p in a row is followed by the least prime > 3·p. A229610

A proximate-prime polynomial sequence generated by 2·n² - 2·n + 53089. A155557

a(n) is the smallest number of consecutive primes that are necessary to add to obtain the largest prime = A342443(n) < 10ⁿ. A342444

Second term of weak prime sextet: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3). A54829