Properties of the Number 49113

Forty-Nine Thousand One Hundred Thirteen

Basics

Value: 49112 → 49113 → 49114

Parity: odd

Prime: No

Previous Prime: 49109

Next Prime: 49117

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 107

Divisors: 1, 3, 9, 17, 27, 51, 107, 153, 321, 459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111111011001

Octal: 137731

Duodecimal: 24509

Hexadecimal: bfd9

Square: 2412086769

Square Root: 221.61453020955102

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

Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = ∑_j=0..k StirlingS1(n, n-j)*binomial(n,j) + ∑_j=0..n-k StirlingS1(n, n-j)*binomial(n, j), read by rows. A176155

Number of parts that are visible in one of the three views of the shell model of partitions version "Tree" with n shells. A194803

The number of bidirectional ballot sequences of length n, i.e., the number of 0-1 sequences of length n such that every prefix and every suffix has more 1's than 0's. A167510

a(n) = 5a(n-1) - 5a(n-2) + a(n-3) + 2*(-1)ⁿ⁺¹, alternatively a(n) = 3a(n-1) + 3a(n-2) - a(n-3). A109438

Numbers k such that the period of the continued fraction for sqrt(5)*k is 2. A65030

Triangle read by rows: T(n,k) is the number of ternary words of length n containing k 012's (n >= 0, 0 <= k <= floor(n/3)). A119851

Number of ternary words with exactly one 012. A119852

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 209", based on the 5-celled von Neumann neighborhood. A270893

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood. A273142

Number of powers of 2 in sequence obtained when φ (A000010) is repeatedly applied to n. A49113