Properties of the Number 4175

Four Thousand One Hundred Seventy-Five

Basics

Value: 4174 → 4175 → 4176

Parity: odd

Prime: No

Previous Prime: 4159

Next Prime: 4177

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 ² × 167

Divisors: 1, 5, 25, 167, 835, 4175

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001001111

Octal: 10117

Duodecimal: 24BB

Hexadecimal: 104f

Square: 17430625

Square Root: 64.61423991660043

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

Partial sums of A299274. A299275

Expansion of ∏_m>=1 (1+x^m)². A22567

a(n) = a(n-1) + a(floor(n/2)), a(1) = 1. A33485

a(n) = a(n-3) + a(n-4), with a(0)=1, a(1)=a(2)=0, a(3)=1. A17817

Numbers k for which 8·R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A96508

a(n) = ∑_k=0..n C(n-k,3k). A3522

T(n,k)=Number of length n+2 0..k arrays with no consecutive three elements summing to more than k. A241619

Number of compositions of n such that two adjacent parts are not equal modulo 2. A62200

Number of fixed points of mirroring operation on solid partitions. A96573

Numbers that have 8 terms in their Zeckendorf representation. A179248