Properties of the Number 46948

Forty-Six Thousand Nine Hundred Forty-Eight

Basics

Value: 46947 → 46948 → 46949

Parity: even

Prime: No

Previous Prime: 46933

Next Prime: 46957

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 ² × 97

Divisors: 1, 2, 4, 11, 22, 44, 97, 121, 194, 242

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011101100100

Octal: 133544

Duodecimal: 23204

Hexadecimal: b764

Square: 2204114704

Square Root: 216.6748716395143

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) = ∑_d∣n d^d+n/d-1 * binomial(d+n/d-2, d-1). A339712

Number of n-node unlabeled rooted trees with thickening limbs. A245152

a(n) = 97·n². A174338

a(n) = a(n-1)*2 - floor(sqrt(a(n-2))). A182558

a(n) = (4·n+9)*n². A258618

The number of shaded cells in all compositions of n when light shines from the northwest. Here compositions are represented by stacked columns of adjacent cells. A372768

Sizes of successive balls in E₈ lattice. A46948

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically. A207512