Properties of the Number 4170

Four Thousand One Hundred Seventy

Basics

Value: 4169 → 4170 → 4171

Parity: even

Prime: No

Previous Prime: 4159

Next Prime: 4177

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 139

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 139, 278

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000001001010

Octal: 10112

Duodecimal: 24B6

Hexadecimal: 104a

Square: 17388900

Square Root: 64.57553716385176

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

Expansion of ∑_k>=2 x^k*(k+3/2) / ∏_j=1..k (1 - x^j). A318029

Number of pairwise coprime strict compositions of n, where a singleton is not considered coprime unless it is (1). A337561

Inverse binomial matrix applied to A110877. A126093

Number of integer partitions of n such that every permutation has all distinct runs. A351204

Numbers k such that σ(k) = σ(k+10). A15880

Coefficient of q¹ in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(1,2). A74352

T(n,k) = 1/12 the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. A183729

Array read by antidiagonals: T(n,k) is the number of permutations of k indistinguishable copies of 1..n with exactly 2 local maxima. A334773

Expansion of A(x) satisfying A(x) = x + A(x)²*(1 + A(x))³. A361305

Triangle read by rows: T(n,k) is the number of free polyominoes with n cells whose difference between length and width is k, n >= 1, k >= 0. A379625