Properties of the Number 4116

Four Thousand One Hundred Sixteen

Basics

Value: 4115 → 4116 → 4117

Parity: even

Prime: No

Previous Prime: 4111

Next Prime: 4127

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 ³

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000000010100

Octal: 10024

Duodecimal: 2470

Hexadecimal: 1014

Square: 16941456

Square Root: 64.15605972938177

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

Number of step shifted (decimated) sequence structures using a maximum of two different symbols. A56391

Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n. A31

Numbers whose unsorted prime signature is not unimodal. A332282

Array read by antidiagonals: number of antichains (or order ideals) in the poset 3·m*n or plane partitions with rows <= m, columns <= n and entries <= 3. A56939

Number of n-node rooted trees with nodes of 2 colors. A38055

Expansion of ∏_k>=1 (1+x^k)^k*(k+1*(k+2)/6). A258343

Numbers whose binary indices are prime numbers. A326782

Number of antichains (or order ideals) in the poset 4·m*n or plane partitions with at most m rows and n columns and entries <= 4. A56940

a(n) = ∏_i=1..n ((i+3)*(i+4)*(i+5))/(i*(i+1)*(i+2)). A47819

Partial sums of A097988 (d₃(n)²). A330570