Properties of the Number 5456

Five Thousand Four Hundred Fifty-Six

Basics

Value: 5455 → 5456 → 5457

Parity: even

Prime: No

Previous Prime: 5449

Next Prime: 5471

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 11 × 31

Divisors: 1, 2, 4, 8, 11, 16, 22, 31, 44, 62

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 1010101010000

Octal: 12520

Duodecimal: 31A8

Hexadecimal: 1550

Square: 29767936

Square Root: 73.86474125047755

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

a(n) = 1² + 3² + 5² + 7² + ... + (2·n-1)² = n*(4·n² - 1)/3. A447

Dodecahedral numbers: a(n) = n*(3·n - 1)*(3·n - 2)/2. A6566

a(n) = ∑_{k=1..n, gcd(n,k) = 1} k². A53818

Infinite lower triangular matrix, M, that satisfies [M²](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78121

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles, including fixed points. A165115

Expansion of 1/((1-2·x)*(1-8·x)). A16131

Numbers with exactly 2 odd integers in their Collatz (or 3x+1) trajectory. A62052

Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles of length greater than 1. A165117