Properties of the Number 22742

Twenty-Two Thousand Seven Hundred Forty-Two

Basics

Value: 22741 → 22742 → 22743

Parity: even

Prime: No

Previous Prime: 22741

Next Prime: 22751

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 83 × 137

Divisors: 1, 2, 83, 137, 166, 274, 11371, 22742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100011010110

Octal: 54326

Duodecimal: 111B2

Hexadecimal: 58d6

Square: 517198564

Square Root: 150.8045092164024

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) = ∑_k=1..n gcd(k, n)⁴. A343498

Numbers n such that 7ⁿ - 8 is prime. A217131

Square root of the absolute value of A069191(n). A228552

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,2,1,0,1 for x=0,1,2,3,4. A197805

Number of distinct sums i³ + j³ + k³ + l³ for 0<=i<=j<=k<=l<=n. A374711

Number of n X 3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,1 for x=0,1,2,3,4. A197800

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,1 for x=0,1,2,3,4. A197803

Square roots of A069191, sorted. A70223

Expansion of 1/∏_m>=1 (1 - m·q^m)¹⁸. A22742