Properties of the Number 406

Four Hundred Six

Basics

Value: 405 → 406 → 407

Parity: even

Prime: No

Previous Prime: 401

Next Prime: 409

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 29

Divisors: 1, 2, 7, 14, 29, 58, 203, 406

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010110

Octal: 626

Duodecimal: 29A

Hexadecimal: 196

Square: 164836

Square Root: 20.149441679609886

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3). A930

Sphenic numbers: products of 3 distinct primes. A7304

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

Number of compositions of n if all summand runs are kept together. A274174

Sum of positive integers in smallest positive reduced residue system modulo n. a(1) = 1 by convention. A23896

Increasing sequence generated by these rules: a(1)=1, and if·is in a then 3x-2 and 4x-2 are in a. A191113

Number of fountains of n coins. A5169

a(n) = binomial(n,2): number of size-2 subsets of {0,1,...,n} that contain no consecutive integers. A161680

Number of steps until the RADD sequence T(k+1) = n + R(T(k)), T(0) = 1, enters a cycle; -1 if no cycle is ever reached. (R=A004086: reverse digits). A117816