Properties of the Number 6111

Six Thousand One Hundred Eleven

Basics

Value: 6110 → 6111 → 6112

Parity: odd

Prime: No

Previous Prime: 6101

Next Prime: 6113

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 97

Divisors: 1, 3, 7, 9, 21, 63, 97, 291, 679, 873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111011111

Octal: 13737

Duodecimal: 3653

Hexadecimal: 17df

Square: 37344321

Square Root: 78.1728853247723

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 ∏_m>=1 (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available. A26007

Number of partitions of integer partitions of n where all parts have the same length. A319066

Triangle read by rows: T(n,k) gives the number of set partitions of {1,...,n} with maximum block length k. A80510

Euler transform of A027656(n-1). A35528

a(n) = n*(14·n-3). A185019

Numbers k such that k and k+1 are both base φ Niven numbers (A334308). A334309

n satisfying σ(n+1) = σ(n-1). A55574

Any two consecutive digits in the sequence sum up to a prime. A158652

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with all 2X2 subblock sums the same. A184003

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n-1} k². A50410