Properties of the Number 7509

Seven Thousand Five Hundred Nine

Basics

Value: 7508 → 7509 → 7510

Parity: odd

Prime: No

Previous Prime: 7507

Next Prime: 7517

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2503

Divisors: 1, 3, 2503, 7509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101010101

Octal: 16525

Duodecimal: 4419

Hexadecimal: 1d55

Square: 56385081

Square Root: 86.65448632355972

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

An array A of the positive odd numbers, read by antidiagonals upwards, giving the present triangle T. A347834

Array T(n,k) of odd Collatz preimages read by antidiagonals. A178415

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

a(n) = 4·a(n-1) + 1, a(1)=7. A72261

Rectangular array with all start numbers Mo(n, k), k >= 1, for the Collatz operation ud^2·n-1, n >= 1, ending in an odd number, read by antidiagonals. A238476

Expansion of (1+x-x³)/((1-2·x)*(1-x²)). A52997

Numbers k such that (k³ + 2, n³ + 4) is a twin prime pair. A178337

a(n) = ∑_i=1..n (n-i+1)*φ(i). A103116

Number of inequivalent (mod D₄) ways four checkers can be placed on an n X n board. A242279

Length of n-th iterate of the mapping 00->0010, 01->100, 10->011 in A289165. A289177