Properties of the Number 47740

Forty-Seven Thousand Seven Hundred Forty

Basics

Value: 47739 → 47740 → 47741

Parity: even

Prime: No

Previous Prime: 47737

Next Prime: 47741

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 7 × 11 × 31

Divisors: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101001111100

Octal: 135174

Duodecimal: 23764

Hexadecimal: ba7c

Square: 2279107600

Square Root: 218.49485119791726

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

Antidiagonal-sums of the absolute value of the array A377046(n,k) = n-th term of k-th differences of nonsquarefree numbers (A013929). A377048

Long leg B of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, s=a+b+c, s-+1 are primes. A155174

Numbers k such that w(k-2), w(k-1), and w(k) are all odd, where w is A336957. A338070

Number of ways to place 2 queens on an n X n chessboard so that they attack each other. A144945

a(n) is the number in the first column of the Trithoff (tribonacci) array that starts off the row containing the tail of n times the tribonacci sequence. A351689

Expansion of the continued fraction 1 / (1-q / (1-q-q³ / (1-q-q³-q⁵ / (1-q-q³-q⁵-q⁷ / (...))))). A355046

Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k². A80395

Numbers k such that all primes dividing the k-th composite number divide k as well. A368309

G.f. A(x) satisfies: prime(n-1) iteration of A(x) yields a zero coefficient of xⁿ for n>2. A227886

A discrete analog of Li(n): floor ( ∑_k=2..n 1/log_e (k) ). A47740