Properties of the Number 39561

Thirty-Nine Thousand Five Hundred Sixty-One

Basics

Value: 39560 → 39561 → 39562

Parity: odd

Prime: No

Previous Prime: 39551

Next Prime: 39563

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13187

Divisors: 1, 3, 13187, 39561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101010001001

Octal: 115211

Duodecimal: 1AA89

Hexadecimal: 9a89

Square: 1565072721

Square Root: 198.89947209583036

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

Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column. A89934

Number of 3 X n (0,1)-matrices with no consecutive 1's in any row or column. A51736

Indices i where a run of nonzero values starts in A305671. A305672

a(n) = Lucas(n+4) - 2*(n+3). A27181

Row sums of A163233 and A163235. A163242

a(n) = (4·n³ + 12·n² - 4·n + 3)/3. A322594

(1, 3, 5, 7, 9, ...) convolved with (1, 0, 3, 5, 7, 9, ...). A179903

Array read by antidiagonals: T(n,k) = number of n X k binary matrices with no initial bit string in any row or column divisible by 4. A181031

Numbers whose base-4 representation has the number of 0's, 2's and 3's. A39561