Properties of the Number 82148

Eighty-Two Thousand One Hundred Forty-Eight

Basics

Value: 82147 → 82148 → 82149

Parity: even

Prime: No

Previous Prime: 82141

Next Prime: 82153

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 1867

Divisors: 1, 2, 4, 11, 22, 44, 1867, 3734, 7468, 20537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100000011100100

Octal: 240344

Duodecimal: 3B658

Hexadecimal: 140e4

Square: 6748293904

Square Root: 286.6147239762814

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

Numbers k such that 2·P(k) + 5, 2·P(k+1) + 7, 2·P(k+2) + 9, 2·P(k+3) + 11 are also consecutive primes where P(i) = i-th prime. A103875

Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value. A165381

a(0)=1; for n >= 1, a(n) = ∑_k=0..n 10^k*N(n,k), where N(n,k) = (1/n)*C(n,k)*C(n,k+1) are the Narayana numbers (A001263). A82148

a(n) is the number of terms required beyond the starting value n before a value larger than n first appears when following the same rules as Recamán's sequence A005132 but starting at n instead of 0. A334149

G.f. A(x) satisfies: [xⁿ] (1+x)^(n-1²) / A(x) = 0 for n>0. A304190