Properties of the Number 4361

Four Thousand Three Hundred Sixty-One

Basics

Value: 4360 → 4361 → 4362

Parity: odd

Prime: No

Previous Prime: 4357

Next Prime: 4363

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 89

Divisors: 1, 7, 49, 89, 623, 4361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100001001

Octal: 10411

Duodecimal: 2635

Hexadecimal: 1109

Square: 19018321

Square Root: 66.03786792439622

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 such that the parts have the same mean as the multiplicities. A360068

Number of graphical partitions (degree-vectors for simple graphs with n vertices, or possible ordered row-sum vectors for a symmetric 0-1 matrix with diagonal values 0). A4251

a(n) is the sum of prime numbers between 2ⁿ+1 and 2ⁿ⁺¹. A293697

Expansion of e.g.f.: exp(x/(1-2·x)). A25168

a(n) = ∑_k=0..n binomial(n,k) * binomial(5·k,k) / (4·k + 1). A346647

Least k such that there are exactly n multisets that can be obtained by choosing a divisor of each prime index of k. A355734

Number of "ON" cells after n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160117

Numbers k such that 6·k+5, 6·k+11, 6·k+17, 6·k+23 are consecutive primes. A90836

Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes. A90833

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array. A217457