Properties of the Number 4005

Four Thousand Five

Basics

Value: 4004 → 4005 → 4006

Parity: odd

Prime: No

Previous Prime: 4003

Next Prime: 4007

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 89

Divisors: 1, 3, 5, 9, 15, 45, 89, 267, 445, 801

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100101

Octal: 7645

Duodecimal: 2399

Hexadecimal: fa5

Square: 16040025

Square Root: 63.28506932918696

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

Hexagonal numbers: a(n) = n*(2·n-1). A384

Triangular numbers (A000217) with prime indices. A34953

Number of reduced words of length n in the Weyl group D₇. A162210

a(n) = (n+1)*(n² +8·n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times. A8778

Number of divisors of nⁿ, or of A000312(n). A62319

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

a(n) = (2·n+1)*(4·n+1). A14634

Expansion of Jacobi θ constant theta₂⁶ /(64q^3/2). A8440

a(n) = n⁴ - (n-1)⁴ + (n-2)⁴ - ... 0⁴. A62392

Dispersion of A008851, (numbers >1 and congruent to 0 or 1 mod 5), by antidiagonals. A191722