Properties of the Number 41678

Forty-One Thousand Six Hundred Seventy-Eight

Basics

Value: 41677 → 41678 → 41679

Parity: even

Prime: No

Previous Prime: 41669

Next Prime: 41681

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 13 × 229

Divisors: 1, 2, 7, 13, 14, 26, 91, 182, 229, 458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001011001110

Octal: 121316

Duodecimal: 20152

Hexadecimal: a2ce

Square: 1737055684

Square Root: 204.15190422819964

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

Coefficients in the power series A(x) such that: x·A(x)³ = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x)ⁿ. A357207

Largest value in trajectory of n under the juggler map of A380891. A381246

Denominators of continued fraction convergents to sqrt(433). A41825

Largest value in trajectory when the following modified juggler map is iterated: a[n]=(1-Mod[n, 2])*Floor[n^3/4]+Mod[n, 2]*Floor[n^4/3]; original exponents {1/2, 3/2} are replaced with {3/4, 4/3}. A95400

Numerators of continued fraction convergents to sqrt(358). A41678

Triangular matrix T, read by rows, that satisfies: T³ + 3T² + 3T = SHIFTUP(T), also Tⁿ⁺² + 3Tⁿ⁺¹ + 3Tⁿ = SHIFTUP(Tⁿ - D·T^n-1) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}. A103237