Properties of the Number 5223

Five Thousand Two Hundred Twenty-Three

Basics

Value: 5222 → 5223 → 5224

Parity: odd

Prime: No

Previous Prime: 5209

Next Prime: 5227

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 1741

Divisors: 1, 3, 1741, 5223

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001100111

Octal: 12147

Duodecimal: 3033

Hexadecimal: 1467

Square: 27279729

Square Root: 72.27032586061861

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 incomplete strict integer partitions of n, meaning not every number from 0 to n is the sum of some submultiset. A365831

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean. A244940

T(n,k)=Number of nXk binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. A228796

Positive numbers whose product of digits is 5 times their sum. A62382

Sum of the smallest parts of the partitions of n into 9 parts. A326465

Number of integer partitions of n that contain at least one even part and whose halved even parts are relatively prime. A366845

Number of partitions of n into terms of (1,4)-Ulam sequence, cf. A003666. A199120

Generalized Catalan Numbers x²*A(x)² -(1-x+x²+x³+x⁴)*A(x) + 1 =0. A23421

Convolution of Fibonacci numbers and A023533. A23613

Number of Catalan objects fixed by five-fold application of the Catalan bijections A057511/A057512 (deep rotation of general parenthesizations/plane trees). A79226