Properties of the Number 2148

Two Thousand One Hundred Forty-Eight

Basics

Value: 2147 → 2148 → 2149

Parity: even

Prime: No

Previous Prime: 2143

Next Prime: 2153

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 179

Divisors: 1, 2, 3, 4, 6, 12, 179, 358, 537, 716

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001100100

Octal: 4144

Duodecimal: 12B0

Hexadecimal: 864

Square: 4613904

Square Root: 46.34652090502587

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 (necessarily strict) integer partitions of n with no two consecutive parts divisible. A328171

Number of axially symmetric polyominoes with n cells. A6746

Number of triangles in an n X n grid (or geoplane). A45996

G.f. A(x) satisfies A(x) = 1 + x*(A(x)² - A(x)³ + A(x)⁴). A219537

Positions of occurrences of the natural numbers as a second subsequence in A100035. A100037

Numbers m such that there are precisely 10 groups of order m. A249553

Numbers k whose largest divisor <= sqrt(k) equals 12. A162532

Triangle T read by rows: differences of Motzkin triangle (A026300). A26105

a(n) = (3·n² - n + 2)/2. A143689

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219883