Properties of the Number 6617

Six Thousand Six Hundred Seventeen

Basics

Value: 6616 → 6617 → 6618

Parity: odd

Prime: No

Previous Prime: 6607

Next Prime: 6619

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 509

Divisors: 1, 13, 509, 6617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111011001

Octal: 14731

Duodecimal: 39B5

Hexadecimal: 19d9

Square: 43784689

Square Root: 81.34494452638098

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

Number of even-length integer partitions y of n such that y_i = y_i+1 for all even i. A351012

Number of partitions of n into Fibonacci parts (with 2 types of 1). A7000

Number T(n,k) of equivalence classes of ways of placing k 5 X 5 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=5, 0<=k<=floor(n/5)², read by rows. A236800

Number of integer partitions of n whose negated first differences (assuming the last part is zero) are not unimodal. A332744

First term of the n-th differences of the squarefree numbers. Inverse zero-based binomial transform of A005117. A377041

a(n) = PrimePi(n³) - PrimePi(n)³, where PrimePi = A000720. A291538

Odd composites k such that for all divisor pairs (d, k/d), d <= k/d, it holds that k = A048720(k/d, A065621(d)). A391248

Numerator of the n-th harmonic number H(n) divided by (n+1); a(n) = A001008(n) / ((n+1)*A002805(n)). A2547

a(n) = ∑_k=1..n binomial(floor(n/k)+2,3). A364970

Numbers k such that k! - (k-1)! + 1 is prime. A49432