Properties of the Number 1617

One Thousand Six Hundred Seventeen

Basics

Value: 1616 → 1617 → 1618

Parity: odd

Prime: No

Previous Prime: 1613

Next Prime: 1619

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 11

Divisors: 1, 3, 7, 11, 21, 33, 49, 77, 147, 231

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11001010001

Octal: 3121

Duodecimal: B29

Hexadecimal: 651

Square: 2614689

Square Root: 40.2119385257662

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

a(n) = (prime(n)² - 1)/24. A24702

a(n) = n concatenated with n + 1. A1704

Expansion of g.f. (1 + x + 2·x²)/((1 - x)²*(1 - x³)). A969

Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [3, 4, 5]. The edges of the spiral have length A195019. A195020

a(n) = n*(n + 17)/2. A56126

a(n) = n*(n + 16). A98849

7 times triangular numbers: 7·n*(n+1)/2. A24966

a(n) is the solution to the postage stamp problem with 6 denominations and n stamps. A1211