Properties of the Number 4117

Four Thousand One Hundred Seventeen

Basics

Value: 4116 → 4117 → 4118

Parity: odd

Prime: No

Previous Prime: 4111

Next Prime: 4127

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 23 × 179

Divisors: 1, 23, 179, 4117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000010101

Octal: 10025

Duodecimal: 2471

Hexadecimal: 1015

Square: 16949689

Square Root: 64.16385275215322

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

a(n) = T(n, floor(n/2)), T given by A026519. A26530

a(n) = least k such that the remainder when 7^k is divided by k is n. A119715

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

a(n) = T(2·n, n), where T is given by A026519. A26525

a(n) = n*(8·n-5). A139272

Numerator of ∑_k=1..n 1/φ(k). A28415

Row sums of A078938. A78940

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

Numbers a(n) are obtained by the direct application of sieve of Eratosthenes for A000695: retaining A000695(2)=4, we delete all multiples of 4, which are more than 4; retaining A000695(3)=5, we delete all multiples of 5, which are more than 5, etc. A152021

Number of ways to write n as an ordered sum of 4 nonprime numbers. A341481