Properties of the Number 36445

Thirty-Six Thousand Four Hundred Forty-Five

Basics

Value: 36444 → 36445 → 36446

Parity: odd

Prime: No

Previous Prime: 36433

Next Prime: 36451

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 37 × 197

Divisors: 1, 5, 37, 185, 197, 985, 7289, 36445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111001011101

Octal: 107135

Duodecimal: 19111

Hexadecimal: 8e5d

Square: 1328238025

Square Root: 190.90573590125572

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 rooted thrice-partitions of n. A301706

a(0)=1, a(1)=2 and, for n>1, a(n) = a(n-1) + 11·a(n-2). A63092

The Wiener index of the comb-shaped graph |_|_|...|_| with 2n (n>=1) nodes. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices in the graph. A192023

Number of (n+3) X 7 0..2 matrices with each 4 X 4 subblock idempotent. A224724

Number of 2 X n 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279978

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

a(n) = 7ⁿ - 6ⁿ - 5ⁿ - 4ⁿ - 3ⁿ - 2ⁿ. A137789

Maximum size of smallest square when a square of side n is tiled with integer-sided squares. A36445

Array read by antidiagonals: Numerical sequences of Fibonacci-like polynomials produced by m-ary Huffman trees of maximum height for absolutely ordered sequences. A98805