Properties of the Number 1006

One Thousand Six

Basics

Value: 1005 → 1006 → 1007

Parity: even

Prime: No

Previous Prime: 997

Next Prime: 1009

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 503

Divisors: 1, 2, 503, 1006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101110

Octal: 1756

Duodecimal: 6BA

Hexadecimal: 3ee

Square: 1012036

Square Root: 31.71750305430741

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 build a contiguous building with n LEGO blocks of size 2 X 3 on top of a fixed block of the same size so that the building is symmetric after a rotation by 180 degrees. A123827

Number of compositions (ordered partitions) of n into squares. A6456

Coordination sequence for "svh" 3D uniform tiling. A299283

Numbers that are the sum of 7 positive 5th powers. A3352

Numbers whose sum of digits is 7. A52221

Number of integer partitions of n in which no two distinct parts are relatively prime. A328673

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 6 as largest digit. A256633

Number of primes less than 10ⁿ with initial digit 9. A73509

Numbers with exactly 8 ones in binary expansion. A23690

Numbers where 0 outnumbers any other digit. A292450