Properties of the Number 4002

Four Thousand Two

Basics

Value: 4001 → 4002 → 4003

Parity: even

Prime: No

Previous Prime: 4001

Next Prime: 4003

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 23 × 29

Divisors: 1, 2, 3, 6, 23, 29, 46, 58, 69, 87

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100010

Octal: 7642

Duodecimal: 2396

Hexadecimal: fa2

Square: 16016004

Square Root: 63.26136261573884

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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Numbers k such that 2^k + 3 is prime. A57732

Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027

'Eban' numbers (the letter 'e' is banned!). A6933

Triangle T by rows: second differences of Motzkin triangle (A026300), (i >= -1, -1<=j<=i). A26120

Numbers m such that there are precisely 8 groups of order m. A249551

Multiples of 6 such that the sum of the digits is equal to 6. A62768

MM-numbers of nesting multiset partitions. A326256

Expansion of ∑_n>=1 ( (1 + xⁿ)ⁿ - 1 ). A318636

Number of face-connected components of hexagonal prism cells in the hexagonal prismatic honeycomb up to translation, rotation, and reflection of the honeycomb. A385026