Properties of the Number 6115

Six Thousand One Hundred Fifteen

Basics

Value: 6114 → 6115 → 6116

Parity: odd

Prime: No

Previous Prime: 6113

Next Prime: 6121

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 1223

Divisors: 1, 5, 1223, 6115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111100011

Octal: 13743

Duodecimal: 3657

Hexadecimal: 17e3

Square: 37393225

Square Root: 78.19846545808939

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) is the total number of down-steps after the final up-step in all 3-Dyck paths of length 4·n (n up-steps and 3·n down-steps). A334682

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically. A207391

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically. A207519

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2. A214022

20k²-20k-5 interleaved with 20k²+5 for k=>0. A216876

Number of partitions of n such that the number of parts or the number of distinct parts is a part. A241381

Triangle of coefficients of p(x,n) = (1/2)*(1-x)ⁿ⁺¹*∑_{m >= 0} ((4·m+3)ⁿ - (4·m+1)ⁿ)*x^m, read by rows. A154854

Numbers k such that 47·2^k+1 is prime. A32373

Total number of occurrences of 10 in the (signed) displacement sets of all permutations of [n+10] divided by 10!. A324360

Rectangular array by antidiagonals: row k lists the numbers whose Fibonacci-Lucas representation has k terms. A353658