Properties of the Number 37841

Thirty-Seven Thousand Eight Hundred Forty-One

Basics

Value: 37840 → 37841 → 37842

Parity: odd

Prime: No

Previous Prime: 37831

Next Prime: 37847

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 79 × 479

Divisors: 1, 79, 479, 37841

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111010001

Octal: 111721

Duodecimal: 19A95

Hexadecimal: 93d1

Square: 1431941281

Square Root: 194.5276329985023

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(0) = 16, after which, if (2·a(n-1)) - 1 = ∏_{k >= 1} (p_k)^c_k then a(n) = ∏_{k >= 1} (p_k-1)^c_k, where p_k indicates the k-th prime, A000040(k). A246345

Least number·such that xⁿ has n digits equal to k. Case k = 2. A285449

Size of blocks of 1's in the second column of Catalan numbers written in binary and left-aligned. A279026

Expansion of ∑_k>=1 x^k*(1 + x^k)/(1 - x^k)⁴. A320941

Expansion of 1/((1-3x)*(1-7x)*(1-10x)). A17999

Least number beginning with n such that every concatenation is a prime. A90506

Number of 5 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224041

Expansion of 1/(1 - ∑_k>=2 μ(k)²*x^k), where μ(k) is the Moebius function (A008683). A280197

Expansion of (1-x)^-1/(1+x²-2·x³). A77887

a(n)=Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*9ⁱ: i=0,1,...,m} is the base 9 representation of n. A37841