Properties of the Number 46988

Forty-Six Thousand Nine Hundred Eighty-Eight

Basics

Value: 46987 → 46988 → 46989

Parity: even

Prime: No

Previous Prime: 46957

Next Prime: 46993

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 17 × 691

Divisors: 1, 2, 4, 17, 34, 68, 691, 1382, 2764, 11747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011011110001100

Octal: 133614

Duodecimal: 23238

Hexadecimal: b78c

Square: 2207872144

Square Root: 216.76715618377244

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 nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,0,1,1 for x=0,1,2,3,4. A197896

Expansion of (1-4·x+3·x²)/((1-2·x)*(1-4·x+x²)). A87944

Number of paths of length n starting at initial node of the path graph P₁₁. A336678

Numbers k such that k, k+1, k+2 and k+3 are products of 4 primes. A124728

Smallest of 5 consecutive integers divisible respectively by 5 consecutive primes. A72730

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,1 for x=0,1,2,3,4. A197892

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,1 for x=0,1,2,3,4. A197894

Number of permutations of 0..floor((4·n-1)/2) on even squares of an 4·n array such that each row, column, diagonal and (downwards) antidiagonal of even squares is increasing. A215790

Numerators of ζ(2·n)/π^2·n. A46988

T(n,k)=Number of permutations of 0..floor((n·k-1)/2) on even squares of an nXk array such that each row, column, diagonal and (downwards) antidiagonal of even squares is increasing. A215788