Properties of the Number 1742

One Thousand Seven Hundred Forty-Two

Basics

Value: 1741 → 1742 → 1743

Parity: even

Prime: No

Previous Prime: 1741

Next Prime: 1747

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 13 × 67

Divisors: 1, 2, 13, 26, 67, 134, 871, 1742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11011001110

Octal: 3316

Duodecimal: 1012

Hexadecimal: 6ce

Square: 3034564

Square Root: 41.737273509418415

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) = 2*(n² - n + 1). A51890

a(n) = Sum_i=1..n binomial(i+2,3)² [ Sequential sums of the tetragonal numbers or "tetras" (pyramidal, square) raised to power 2 (drawn from the 4th diagonal - left or right - of Pascal's Triangle) ]. A86020

Smallest even k such that the pair {k-3,k-1} is not a twin prime pair and lpf(k-1) > lpf(k-3) >= prime(n), where lpf = least prime factor (A020639). A242720

Number of partitions of n such that the successive differences of consecutive parts are strictly increasing. A240027

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238555

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=4·floor(n/2), read by rows. A238557

Numbers n such that 1 + n + n³ + n⁵ + n⁷ + n⁹ + n¹¹ + n¹³ + n¹⁵ + n¹⁷ + n¹⁹ + n²¹ + n²³ is prime. A124181

Sequence Sb of the eight sequences defining the blocks of terms in A377091. A379789

Expansion of 1/(1 - x⁵ - x⁶). A17837

a(n) = n XOR n². A169810