Properties of the Number 1242

One Thousand Two Hundred Forty-Two

Basics

Value: 1241 → 1242 → 1243

Parity: even

Prime: No

Previous Prime: 1237

Next Prime: 1249

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 23

Divisors: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011010

Octal: 2332

Duodecimal: 876

Hexadecimal: 4da

Square: 1542564

Square Root: 35.24202037341219

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

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

Generalized 10-gonal numbers: m*(4·m - 3) for m = 0, +- 1, +- 2, +- 3, ... A74377

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0)=1, T(n,k)=0 if n < k, T(n,k) = T(n-1,k-1) + T(n-1,k) + T(n-1,k+1). A64189

Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1). A26300

Expansion of g.f. x*(1 + 3·x)/((1 + x)*(1 - x)³). A35608

Number of rooted trees with n nodes in which all positive outdegrees are the same. A298422

Expansion of ∏_m>=1 (1+x^m)². A22567

Number of integer partitions of n whose parts do not have the same mean as median. A359894

Number of sets in the geometry determined by the Hausdorff metric at each location between two sets defined by a complete bipartite graph K(3,n) (with n at least 4) missing three edges, where all three removed edges are incident to different vertices in the 3-point set and none of the removed edges are incident to the same vertex in the other set. A342850

Numbers whose negated unsorted prime signature is not unimodal. A332642