Properties of the Number 3764

Three Thousand Seven Hundred Sixty-Four

Basics

Value: 3763 → 3764 → 3765

Parity: even

Prime: No

Previous Prime: 3761

Next Prime: 3767

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 941

Divisors: 1, 2, 4, 941, 1882, 3764

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010110100

Octal: 7264

Duodecimal: 2218

Hexadecimal: eb4

Square: 14167696

Square Root: 61.35144660071187

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

Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331452

T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime and no consecutive values equal. A255716

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A284075

Numbers k with property that average digit of k² is s=5. A164774

Integers setting a record for the absolute minimal difference from the imaginary part of a nontrivial zero of the Riemann ζ function. A255742

Smallest even k such that lpf(k-1) = prime(n), while lpf(k-3) > prime(n), where lpf=least prime factor (A020639). A242489

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260294

G.f.: exp( ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + d·xⁿ) ). A205478

Numbers n for which there is an equal number of primes in range [prime(n)², prime(n)*prime(n+1)] as there are primes in range [prime(n)*prime(n+1), prime(n+1)²]. A256471

Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i and p(1) <= 2. A188494