Properties of the Number 8458

Eight Thousand Four Hundred Fifty-Eight

Basics

Value: 8457 → 8458 → 8459

Parity: even

Prime: No

Previous Prime: 8447

Next Prime: 8461

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 4229

Divisors: 1, 2, 4229, 8458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000100001010

Octal: 20412

Duodecimal: 4A8A

Hexadecimal: 210a

Square: 71537764

Square Root: 91.96738552334735

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

Q-toothpick sequence (see Comments for precise definition). A187210

Number of primes less than 10ⁿ with initial digit 6. A73512

G.f. satisfies A(x) = 1 + x·A(x+x²). A127782

Sum of largest parts of all partitions of n into an odd number of parts. A222047

Numbers k such that the k-th composition in standard order has even length and alternately equal and unequal parts, i.e., all run-lengths equal to 2. A351011

Indices n where a run of primes ends in A376198. A376752

Number of partitions of n in which the largest summand has frequency 1, the next largest summand has frequency at most 2, the third largest has frequency at most 3, etc. A244395

Irregular triangle read by rows: T(n,k) is the number of polyominoes of size k, i.e., connected subsets of k square cells (or vertices), of the n X n flat torus, up to cyclic shifts and reflections of rows and columns, as well as interchange of rows and columns; 1 <= k <= n². A385385

Let 2^k = smallest power of 2 >= binomial(n,[n/2]); a(n) = 2^k - binomial(n,[n/2]). A94779

Least integer k > 1 such that π(k)² + π(k·n)² is a square, where π(.) is the prime-counting function given by A000720. A255677