Properties of the Number -4225

Two Hundred Twenty-Five

Basics

Value: -4226 → -4225 → -4224

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 13 ²

Divisors: 1, 5, 13, 25, 65, 169, 325, 845, 4225

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000010000001

Octal: -10201

Duodecimal: -2541

Hexadecimal: -1081

Square: 17850625

Square Root: 65

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(0,0)=1; for n >= 1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n). A123967

Expansion of g.f.: -x*(1 - 2·x + 6·x² - 2·x³ + x⁴)/((1-x)³*(1+x)⁴). A122576

Alternating sum of centered 25-gonal numbers. A270693

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

Perfect powers of nonprimes (m^k where m is a nonprime positive integer and k >= 2). A131605

Squarefree numbers squared. A62503

Partial sums of sequence of odd primes (A065091); a(n) = sum of the first n odd primes. A71148

Squares of the squarefree semiprimes (p²*q²). A85986

Integers of the form m*(m + 6)/7. A274978

Powers of composite squarefree numbers that are not squarefree. A303606