Properties of the Number 27953

Twenty-Seven Thousand Nine Hundred Fifty-Three

Basics

Value: 27952 → 27953 → 27954

Parity: odd

Prime: Yes

Previous Prime: 27947

Next Prime: 27961

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 27953

Divisors: 1, 27953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110100110001

Octal: 66461

Duodecimal: 14215

Hexadecimal: 6d31

Square: 781370209

Square Root: 167.19150696132863

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

Primes of the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

Largest prime factor of 1 + (product of first n primes). A2585

Euclid-Mullin sequence (A000945) with initial value a(1)=11 instead of a(1)=2. A51309

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

Primes of the form 36·n² - 810·n + 2753, n >= 0, sorted. A22464

Sum of parts that are visible in one of the three views of the shell model of partitions version "tree" with n shells. A194804

Primes p such that (p¹²⁸ + 1)/2 is prime. A341230

Primes p such that 2·p³ -+ 3 are also prime. A174363

Numbers that divide exactly two Euclid numbers. A297891

Let s(k) denote the k-th term of an integer sequence such that s(0)=0 and s(i) for all i>0 is the least natural number such that no four elements of {s(0),..,s(i)} are in arithmetic progression. Then it appears that there are many set of 3 consecutive integers in s(k). Sequence gives the smallest element in those triples. A71711