Properties of the Number 27244

Twenty-Seven Thousand Two Hundred Forty-Four

Basics

Value: 27243 → 27244 → 27245

Parity: even

Prime: No

Previous Prime: 27241

Next Prime: 27253

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 ² × 139

Divisors: 1, 2, 4, 7, 14, 28, 49, 98, 139, 196

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101001101100

Octal: 65154

Duodecimal: 13924

Hexadecimal: 6a6c

Square: 742235536

Square Root: 165.05756571572235

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257426

Numbers n such that the decimal expansions of both n and n² have 2 as smallest digit and 7 as largest digit. A257123

Number of n-celled polyzebras without bilateral symmetry. A93992

Numbers k such that k³ - b2 is a triangular number (A000217), where b2 is the largest square less than k³. A233401

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257421

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257427

Expansion of ∏_k>=1 (1 + (1 + x + x²) * x^k). A309173

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 0), (1, 0, -1), (1, 1, 0)}. A148604

The forgotten topological index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292346

a(n) = ∑_k=0..n (k+1) * A026769(n, n-k). A27244