Properties of the Number 5017

Five Thousand Seventeen

Basics

Value: 5016 → 5017 → 5018

Parity: odd

Prime: No

Previous Prime: 5011

Next Prime: 5021

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 29 × 173

Divisors: 1, 29, 173, 5017

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110011001

Octal: 11631

Duodecimal: 2AA1

Hexadecimal: 1399

Square: 25170289

Square Root: 70.83078426785913

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

Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1). A11971

Pentagonal numbers with even index. A49452

Numbers that are the sum of 5 positive 6th powers. A3361

Numbers that are the sum of 10 positive 7th powers. A3377

Difference array of Bell numbers A000110 read by antidiagonals. A106436

Smallest k > 0 with gcd(k, rev(k)) = n, where rev(k) is digit reversal of k, or 0 if no such k exists. A69554

Numbers obtained by reinterpreting base-2 representation of n in A001563-base (A276326): a(n) = ∑_k>=0 A030308(n,k)*A001563(k+1). A276091

Apply (1+Shift) to Bell numbers. A11968

Number T(n,k) of symmetrically unique Dyck paths of semilength n and height k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A291883

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 4. A50037