Properties of the Number 9005

Nine Thousand Five

Basics

Value: 9004 → 9005 → 9006

Parity: odd

Prime: No

Previous Prime: 9001

Next Prime: 9007

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 1801

Divisors: 1, 5, 1801, 9005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100101101

Octal: 21455

Duodecimal: 5265

Hexadecimal: 232d

Square: 81090025

Square Root: 94.89467845985885

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 partitions of n into an even number of parts. A27187

Number of partitions of 2n of type EE (see Comments). A236913

Number of cycle types of conjugacy classes of all even permutations of n elements. A46682

Numbers that are the sum of 7 positive 7th powers. A3374

Number of partitions of n without three consecutive parts in arithmetic progression. A238424

Number of integer partitions of n with reverse-alternating product <= 1. A347443

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 0,0 1,1 0,-1 -1,1 or 0,-2. A264244

Number of integer partitions of n whose minima of maximal anti-runs are not all different. A375404

Number of permutations in S_n avoiding {bar 2}413{bar 5} (i.e., every occurrence of 413 is contained in an occurrence of a 24135). A137551

Records in A007535. A98654