Properties of the Number 9205

Nine Thousand Two Hundred Five

Basics

Value: 9204 → 9205 → 9206

Parity: odd

Prime: No

Previous Prime: 9203

Next Prime: 9209

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 263

Divisors: 1, 5, 7, 35, 263, 1315, 1841, 9205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111110101

Octal: 21765

Duodecimal: 53B1

Hexadecimal: 23f5

Square: 84732025

Square Root: 95.94269122762817

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

Number of ways to shuffle together a multiset of compositions to form a composition of n. A292884

4-dimensional analog of centered polygonal numbers. A6322

T(n,k)=Number of length n+2 0..k arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253129

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,-1 1,0 -1,-2 -2,-2 or 0,1. A264676

Numbers k such that numerator of ∑_i=1..k 1/(prime(i)-1) is prime. A92063

Numbers that are the sum of ten fourth powers in nine or more ways. A345602

a(n) = 6·n² - 10·n + 5. A136392

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Fibonacci sequence beginning 5, 12. A22137

Products of 3 distinct safe primes. A157354