Properties of the Number 4365

Four Thousand Three Hundred Sixty-Five

Basics

Value: 4364 → 4365 → 4366

Parity: odd

Prime: No

Previous Prime: 4363

Next Prime: 4373

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 97

Divisors: 1, 3, 5, 9, 15, 45, 97, 291, 485, 873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100001101

Octal: 10415

Duodecimal: 2639

Hexadecimal: 110d

Square: 19053225

Square Root: 66.06814663663572

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

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

Number of partitions of n³ into cubes. A259792

a(n) = (n-1)*(2·n+5). A130861

Numbers k for which nontrivial positive magic squares of exactly 7 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125014

Number of integer partitions of n whose maximal anti-runs have distinct minima. A375134

Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k. A62923

Number of positive solutions to x²+y²+z² <= n². A253663

Array read by antidiagonals upwards: T(n,k) = number of partitions of kⁿ into n-th powers (n>=1, k>=0). A259799

a(n) = T(2n-1,n-2), T given by A026758. A26763

Numbers k such that σ(k) = σ(k-1). A231546