Properties of the Number 6929

Six Thousand Nine Hundred Twenty-Nine

Basics

Value: 6928 → 6929 → 6930

Parity: odd

Prime: No

Previous Prime: 6917

Next Prime: 6947

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13 ² × 41

Divisors: 1, 13, 41, 169, 533, 6929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101100010001

Octal: 15421

Duodecimal: 4015

Hexadecimal: 1b11

Square: 48011041

Square Root: 83.24061508662703

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) = |b(n)|² = x² + 3·y² where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)*(0,c,c,c) where c = 1/sqrt(3). A105309

Norm of the sum of divisors function σ(n) generalized for Gaussian integers. A103230

Total number of smallest parts in all partitions of n into odd parts. A92268

Number of integer compositions of n that have only one part or whose consecutive parts are indivisible and the last and first part are also indivisible. A318726

Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers. A69755

Highly cototient numbers: records for a(n) in A063741. A100827

E.g.f.: Limit_N->oo [ ∑_n>=0 (N + 2·n)^2·n * (x/N)ⁿ/n! ]^1/N. A266485

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without 2-loops or left turns. A221828

Composite integers m such that P(m)² == 1 (mod m), where P(m) is the m-th Pell number A000129(m). Also, odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 6 (mod m), where U(m)=A001109(m) and V(m)=A003499(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=6 and b=1, respectively. A337233

Odd composite integers m such that A087130(m-J(m,29)) == 2·J(m,29) (mod m), where J(m,29) is the Jacobi symbol. A339127