Properties of the Number 4165

Four Thousand One Hundred Sixty-Five

Basics

Value: 4164 → 4165 → 4166

Parity: odd

Prime: No

Previous Prime: 4159

Next Prime: 4177

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 ² × 17

Divisors: 1, 5, 7, 17, 35, 49, 85, 119, 245, 595

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000001000101

Octal: 10105

Duodecimal: 24B1

Hexadecimal: 1045

Square: 17347225

Square Root: 64.53681120105021

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 compositions (ordered partitions) of n that are concave-down sequences. A70211

Numbers that are the sum of 7 positive 6th powers. A3363

7 times triangular numbers: 7·n*(n+1)/2. A24966

Dispersion of A008851, (numbers >1 and congruent to 0 or 1 mod 5), by antidiagonals. A191722

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252961

Partial sums of gcd-sum sequence A018804. A272718

Number of 11-regular partitions of n (no part is a multiple of 11). A328545

Triangle read by rows: T(n, m) = S1(n, m)*7^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A51186

Odd positive integers a(n) such that for every integer m == 3 (mod 4) there exists a unique representation of the form m = a(l) + 2·a(s), but there are no such representations for m == 1 (mod 4). A145818

a(n) = ∑_d∣n d^τ(d). A174937