Properties of the Number 1107

One Thousand One Hundred Seven

Basics

Value: 1106 → 1107 → 1108

Parity: odd

Prime: No

Previous Prime: 1103

Next Prime: 1109

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 41

Divisors: 1, 3, 9, 27, 41, 123, 369, 1107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010011

Octal: 2123

Duodecimal: 783

Hexadecimal: 453

Square: 1225449

Square Root: 33.27160951922825

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

Central trinomial coefficients: largest coefficient of (1 + x + x²)ⁿ. A2426

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Second pentagonal numbers: a(n) = n*(3·n + 1)/2. A5449

Product of the cube of a prime (A030078) and a different prime. A65036

a(n) = (prime(n)² - 1)/24. A24702

Left half of trinomial triangle (A027907), triangle read by rows. A111808

Numbers that are not the sum of 2 palindromes (where 0 is considered a palindrome). A35137

Square array read by falling antidiagonals of central polynomial coefficients: largest coefficient in expansion of (1 + x + x² + ... + x^n-1)^k = ((1-xⁿ)/(1-x))^k, i.e., the coefficient of x^floor(k*(n-1)/2) and of x^ceiling(k*(n-1)/2); also number of compositions of floor(k*(n+1)/2) into exactly k positive integers each no more than n. A77042

a(n) = 2·n² - 2·n + 3. A97080

Number of permutations on n letters without double falls and without initial falls. A80635