Properties of the Number 53008

Fifty-Three Thousand Eight

Basics

Value: 53007 → 53008 → 53009

Parity: even

Prime: No

Previous Prime: 53003

Next Prime: 53017

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 3313

Divisors: 1, 2, 4, 8, 16, 3313, 6626, 13252, 26504, 53008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100010000

Octal: 147420

Duodecimal: 26814

Hexadecimal: cf10

Square: 2809848064

Square Root: 230.23466289853056

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 integer partitions of n that cannot be partitioned into constant multisets with a common sum. A381993

Values of Zagier's function J₁. A27652

Values of Zagier's function J₁(k) as k runs through the numbers -1, 0, 3, 4, 7, 8, ... which are == -1 or 0 mod 4. A27653

Zagier's function J₁(4·n). A27655

G.f. A(x) satisfies: A(x) = ( A(-x) + sqrt( A(-x)² + 64·x/A(-x) ) )/2. A353325

Augmentation of the triangular array P given by p(n,k)=k! for 0<=k<=n. See Comments. A193092

Number of magic labelings with magic sum n of 6th graph shown in link. A244874

Number of ways to build a contiguous building with n LEGO blocks of size 1 X 5 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees. A123793

Primes from products of split even-digit primes. A53008

Coefficients of odd exponents of series reversion of x*(1 - x²)⁸*(1 + x²)*(1 + 6·x² + x⁴). A353326