Properties of the Number 5458

Five Thousand Four Hundred Fifty-Eight

Basics

Value: 5457 → 5458 → 5459

Parity: even

Prime: No

Previous Prime: 5449

Next Prime: 5471

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 2729

Divisors: 1, 2, 2729, 5458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010101010010

Octal: 12522

Duodecimal: 31AA

Hexadecimal: 1552

Square: 29789764

Square Root: 73.87827826905551

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) = 0; and for n > 1, a(n) = A033879(A156552(n)). A323244

Numbers k such that 17^k - 2 is a prime. A128459

a(n) = ∑_k=1..n lcm(k,n)/gcd(k,n). A56789

Noncongruent squarefree numbers n with A248395(n)/d(n) = -2, where d(n) = A000005(n). A248406

Indices of records in A175046. A319423

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically. A207519

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 or 00000011. A259723

Sum of the fourth largest parts in the partitions of n into 8 parts. A308995

Number of series/singleton-reduced rooted trees on strongly normal multisets of size n whose leaves are sets (not necessarily disjoint). A330628

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A317160