Properties of the Number 3967

Three Thousand Nine Hundred Sixty-Seven

Basics

Value: 3966 → 3967 → 3968

Parity: odd

Prime: Yes

Previous Prime: 3947

Next Prime: 3989

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 3967

Divisors: 1, 3967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101111111

Octal: 7577

Duodecimal: 2367

Hexadecimal: f7f

Square: 15737089

Square Root: 62.984124983998946

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

Primes of the form 7x²+4xy+52y². A140633

Primes of the form k² - 2. A28871

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows. A243752

Lonely (or isolated) primes: increasing distance to nearest prime. A23186

Minimal natural number (in decimal representation) with n prime substrings in binary representation (substrings with leading zeros are considered to be nonprime). A217302

Smallest number at distance 2n from nearest prime. A51728

Smallest number at distance n from nearest prime. A51652

Primes congruent to 31 mod 32. A127578

Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even). A23188

Lonely numbers: distance to closest prime sets a new record. A51650