Properties of the Number 53384

Fifty-Three Thousand Three Hundred Eighty-Four

Basics

Value: 53383 → 53384 → 53385

Parity: even

Prime: No

Previous Prime: 53381

Next Prime: 53401

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 6673

Divisors: 1, 2, 4, 8, 6673, 13346, 26692, 53384

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000010001000

Octal: 150210

Duodecimal: 26A88

Hexadecimal: d088

Square: 2849851456

Square Root: 231.04977818643323

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 partitions of the n-th Fibonacci number into Fibonacci numbers. A98641

Expansion of ∏_m>=1 (1+q^m)³². A22596

Numbers k such that there is a smaller number m > 1 such that k·m equals the concatenation of digit-wise multiplication, keeping the leading digits of k when m has fewer digits. A392568

Number of n X 7 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. A266011

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 805", based on the 5-celled von Neumann neighborhood. A273604

Number of permutations of length n which avoid the patterns 321 and 1324. A179257

a(n) = ∑_d∣n (n-d)^τ(d). A345273

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. A266012

a(n) = A053398(4,n). A53384