Properties of the Number 11005

Eleven Thousand Five

Basics

Value: 11004 → 11005 → 11006

Parity: odd

Prime: No

Previous Prime: 11003

Next Prime: 11027

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 5 × 31 × 71

Divisors: 1, 5, 31, 71, 155, 355, 2201, 11005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011111101

Octal: 25375

Duodecimal: 6451

Hexadecimal: 2afd

Square: 121110025

Square Root: 104.9047186736612

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 m such that there are precisely 7 groups of order m. A249550

X-toothpick sequence on Z³ lattice (see Comments for precise definition). A160170

Number of pairs of rabbits when there are 3 pairs per litter and offspring reach parenthood after 3 gestation periods; a(n) = a(n-1) + 3·a(n-3), with a(0) = a(1) = a(2) = 1. A84386

Number of connected graphs on n unlabeled nodes that contain at least two cycles. A140636

Integers i > 1 for which there is no prime p such that i is a solution mod p of x⁴ = 2. A65903

Numbers of the form m = p1·p2·p3 where for each d∣m we have (d+m/d)/2 prime and p1 < p2 < p3 each prime. A128284

Number of compositions (ordered partitions) of n into parts having a common factor > 1 with n. A331888

a(n) = n! * ∑_{k=0..floor(n/3)} (k/6)^k / (k! * (n-3·k)!). A362351

Squarefree n such that the elliptic curve n·y² = x³ - x arising in the "congruent number" problem has rank 3. A62693

Indices of centered heptagonal numbers (A069099) which are also heptagonal numbers (A000566). A133272