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Properties of the Number 6657

Six Thousand Six Hundred Fifty-Seven

Basics

Value: 6656 → 6657 → 6658

Parity: odd

Prime: No

Previous Prime: 6653

Next Prime: 6659

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 317

Divisors: 1, 3, 7, 21, 317, 951, 2219, 6657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101000000001

Octal: 15001

Duodecimal: 3A29

Hexadecimal: 1a01

Square: 44315649

Square Root: 81.59044061653302

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 singular 2 X 2 matrices having all elements in {-n,...,n}. A209981
T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..1 nXk array. A220328
a(n) = 2·a(n-1) - 1 with a(0)=14. A168596
Triangle read by rows: T(n,1) = 1, T(n,n) = n and for 1 < k < n: T(n,k) = T(n-1,k-1) + 2·T(n-1,k). A105728
Matrix inverse of triangle A107862. A107865
a(1) = 3, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime. A111473
Number of partitions of n into parts 3k and 3k+2 with at least one part of each type. A35619
a(n) = 512·n + 1. A76338
Molien series for invariants of finite Coxeter group A8. A266777
Expansion of ∏k>=1 (1 + k·xk2)k. A285242