Properties of the Number 4007

Four Thousand Seven

Basics

Value: 4006 → 4007 → 4008

Parity: odd

Prime: Yes

Previous Prime: 4003

Next Prime: 4013

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 4007

Divisors: 1, 4007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100111

Octal: 7647

Duodecimal: 239B

Hexadecimal: fa7

Square: 16056049

Square Root: 63.30086887239384

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

Partial sums of A299285. A299286

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

Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes. A47948

Primes from merging of 4 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. A103810

Primes with first digit 4. A45710

Safe primes (A005385) that are not Sophie Germain primes. A59452

Smallest prime of a triple of successive primes, where the middle one is the arithmetic mean of the other two. A122535

a(n) = 2·n² + 3·n + 3. A33816

Primes all of whose internal digits (if any) are 0. A69675

Dispersion of A047221, (numbers >1 and congruent to 2 or 3 mod 5), by antidiagonals. A191729