Properties of the Number 8454

Eight Thousand Four Hundred Fifty-Four

Basics

Value: 8453 → 8454 → 8455

Parity: even

Prime: No

Previous Prime: 8447

Next Prime: 8461

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1409

Divisors: 1, 2, 3, 6, 1409, 2818, 4227, 8454

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100000110

Octal: 20406

Duodecimal: 4A86

Hexadecimal: 2106

Square: 71470116

Square Root: 91.94563611178074

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 double-free integer partitions of n. A323092

Expansion of x²*(2 - x + x²) / ((1 + x)*(1 - x)⁴). A26035

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)³ *∏_i=1..t (1-xⁱ) ). A59820

Positions of zeros in A165582. A165583

Thickened pyramidal numbers: a(n) = 2*(n+1)*n + ∑_i=1..n (4·i*(i-1) + 1). A50533

a(n) is the least integer k such that A350090(k) = 2·n-1 or -1 if no such k exists. A350120

a(n) = ∑_k=1..n (-1)^k*k³*floor(n/k). A366917

a(n) = floor(n*(n - 1)*(n - 2)/31). A11913

Denominators of continued fraction convergents to sqrt(669). A42287

Ratio A095107(n)/A095008(n) rounded down. A95357