Properties of the Number 82128

Eighty-Two Thousand One Hundred Twenty-Eight

Basics

Value: 82127 → 82128 → 82129

Parity: even

Prime: No

Previous Prime: 82073

Next Prime: 82129

Digit Sum: 21

Digital Root: 3

Palindrome: Yes

Factorization: 2 ⁴ × 3 × 29 × 59

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100000011010000

Octal: 240320

Duodecimal: 3B640

Hexadecimal: 140d0

Square: 6745008384

Square Root: 286.5798318095675

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

Expansion of g.f. 1/(1-4·x*C) where C = (1/2-1/2*(1-4·x)^1/2)/x = g.f. for Catalan numbers A000108. A76035

Numbers k such that Fibonacci(prime(k)) is prime. A119984

The number of edges in a Farey diagram of order (n,n). A358884

Palindromes with exactly 7 prime factors (counted with multiplicity). A46333

Riordan array (1/(1-4·x*c(x)),xc(x)), c(x) the g.f. of A000108. A117380

Numbers k such that 4·k + 3 is a perfect cube, sorted by absolute values. A305291

Smallest palindromic multiple of n in which the digit string of n appears as sandwiched between at least a pair of digits, or 0 if n = 10k or no such number exists. A84043

a(n) is the number which, when concatenated with A003226(n), the n-th automorphic number, gives (A003226(n))². A307104

Smallest difference>1 between d and p/d for any divisor d of the partial product p of the sequence, starting with 21. A82128

Array read by antidiagonals: T(m,n) is the number of minimum connected dominating sets in the grid graph P_m X P_n. A381474