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Properties of the Number 83028

Eighty-Three Thousand Twenty-Eight

Basics

Value: 83027 → 83028 → 83029

Parity: even

Prime: No

Previous Prime: 83023

Next Prime: 83047

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 2 × 3 × 11 × 17 × 37

Divisors: 1, 2, 3, 4, 6, 11, 12, 17, 22, 33

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010001010100

Octal: 242124

Duodecimal: 40070

Hexadecimal: 14454

Square: 6893648784

Square Root: 288.1457964295159

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 k divides 1 + ∑j=1..k prime(j)2 = 1 + A024450(k). A128166
Triangle T, read by rows, such that T(n,k) equals the (n-k)-th row sum of Tk, where Tk is the k-th power of T as a lower triangular matrix. A91351
Cyclops triangular numbers. A160717
a(n) = floor(C(n+8,8)/C(n+2,2)). A84631
Triangular matrix T, read by rows, that satisfies: SHIFTLEFT_UP(T) = T2 - T + I, or, equivalently: T(n+1,k+1) = [T2](n,k) - T(n,k) + [T0](n,k) for n>=k>=0, with T(0,0)=1. A104445
The first of two consecutive triangular numbers the sum of which is equal to the sum of two consecutive prime numbers. A298462
Row sums of the matrix cube of triangle A091351, in which the k-th column lists the row sums of A091351k (the k-th power of A091351 when considered as a lower triangular matrix). A91354
Triangular numbers that are the product of 2 palindromes greater than 1. A115744
Numbers k such that k*(k+1)-1 and k*(k+1)+1 are twin primes and k*(k+3)-1 and k*(k+3)+1 are also twin primes. A138303
Number of (w,x,y,z) with all terms in {1,...,n} and min{|w-x|,|w-y|}=min{|x-y|,|x-z|}. A212579