Properties of the Number 4111

Four Thousand One Hundred Eleven

Basics

Value: 4110 → 4111 → 4112

Parity: odd

Prime: Yes

Previous Prime: 4099

Next Prime: 4127

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 4111

Divisors: 1, 4111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000001111

Octal: 10017

Duodecimal: 2467

Hexadecimal: 100f

Square: 16900321

Square Root: 64.11708040764177

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

Numbers k for which (7+k!)/7 is prime. A139065

Primes with first digit 4. A45710

Word structures of length n using a 6-ary alphabet. A56273

a(n) = ∑_d∣n (n/d)^d-1. A87909

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

a(n) = 8ⁿ+2ⁿ-1ⁿ. A155592

Near-repunit primes. A105992

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250994

Number of integer partitions of n such that neither the run-lengths nor the negated run-lengths are unimodal. A332640

Primes having only {1, 4, 7} as digits. A79651