Properties of the Number 4052

Four Thousand Fifty-Two

Basics

Value: 4051 → 4052 → 4053

Parity: even

Prime: No

Previous Prime: 4051

Next Prime: 4057

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 1013

Divisors: 1, 2, 4, 1013, 2026, 4052

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111010100

Octal: 7724

Duodecimal: 2418

Hexadecimal: fd4

Square: 16418704

Square Root: 63.655321851358195

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 tetrahedron; coordination sequence for sodalite net (equals 2·n²+2 for n > 0). A5893

Number of representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent. A66739

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

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554

Numbers n such that there is no square n-gonal number greater than 1. A188896

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281765

Smallest number m such that m²+1 is divisible by A002144(n)² (= squares of primes congruent to 1 mod 4). A59321

a(n) = 8·n² + 8·n + 4. A108099

9-step Fibonacci sequence starting with 0,0,0,0,0,0,1,0,0. A251747