Properties of the Number 67804

Sixty-Seven Thousand Eight Hundred Four

Basics

Value: 67803 → 67804 → 67805

Parity: even

Prime: No

Previous Prime: 67801

Next Prime: 67807

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 23 × 67

Divisors: 1, 2, 4, 11, 22, 23, 44, 46, 67, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100011011100

Octal: 204334

Duodecimal: 332A4

Hexadecimal: 108dc

Square: 4597382416

Square Root: 260.3920121662721

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 doubletons in all partitions of n. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] has two doubletons, shown between parentheses). A116646

a(n) = n*(n-1)*(n+1)*(3·n-2)/12. A153978

a(n) = n*(n+1)*(n+2)*(n²+7·n+32)/120. A51747

Number of s in {1,...,n}ⁿ having shortest run with the same value of length 7. A228633

Triangle read by rows: T(n,k) is the number of walks (each step +-1) of length 2n which have a cumulative value of 0 last at step 2k. A67804