Properties of the Number 45369

Forty-Five Thousand Three Hundred Sixty-Nine

Basics

Value: 45368 → 45369 → 45370

Parity: odd

Prime: No

Previous Prime: 45361

Next Prime: 45377

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 71 ²

Divisors: 1, 3, 9, 71, 213, 639, 5041, 15123, 45369

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011000100111001

Octal: 130471

Duodecimal: 22309

Hexadecimal: b139

Square: 2058346161

Square Root: 213

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

Smallest square that begins with n. A18796

a(n) = (6·n+3)². A16946

Odd refactorable numbers. A36896

a(n) = (11·n + 4)². A17438

Squares which are the sum of factorials of distinct integers (probably finite). A25494

Squares which are the arithmetic mean of two consecutive primes. A69495

Numbers k such that k!! + 2¹⁰ is prime. A76197

Squares with initial digit '4'. A45787

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor. A221245

Number of permutations τ of {1,...,n} such that k*τ(k) + 1 is prime for every k = 1,...,n. A321597