Properties of the Number 6900

Six Thousand Nine Hundred

Basics

Value: 6899 → 6900 → 6901

Parity: even

Prime: No

Previous Prime: 6899

Next Prime: 6907

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 23

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101011110100

Octal: 15364

Duodecimal: 3BB0

Hexadecimal: 1af4

Square: 47610000

Square Root: 83.06623862918075

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

a(n) = n*(n+1)*(n+2)/2. A27480

Numbers k such that the decimal number 1k is a square. A272671

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=6. A135191

Number of ways to place 2 nonattacking knights on an n X n board. A172132

a(n) = 3·n² + 12·n. A67707

3 times 11-gonal (or hendecagonal) numbers: a(n) = 3·n*(9·n-7)/2. A153783

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nonincreasing -k..k vector equals n. A226398

T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in i..i+k and no value appearing more than 2 times. A250351

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643

Expansion of g.f.: (-1 + ∏_k>=1 1 / (1 + (-x)^k))². A338463