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Properties of the Number 12649

Twelve Thousand Six Hundred Forty-Nine

Basics

Value: 12648 → 12649 → 12650

Parity: odd

Prime: No

Previous Prime: 12647

Next Prime: 12653

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 13 × 139

Divisors: 1, 7, 13, 91, 139, 973, 1807, 12649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000101101001

Octal: 30551

Duodecimal: 73A1

Hexadecimal: 3169

Square: 159997201

Square Root: 112.46777316191515

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) = 5·a(n-1) - a(n-2) for n > 1, a(0) = 0, a(1) = 1. A4254
Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 5x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 1 - x - x2. A367210
Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 5·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x2. A367299
T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero. A232316
a(n) = binomial(n+5,4) - 1. A63258
Triangle read by rows: T(0,0)=1; for n >= 1 T(n,k) is the coefficient of xk in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n). A123967
Array T(n,k) = n·T(n,k-1) - T(n,k-2) read by upward antidiagonals, with T(n,0) = 0, T(n,1) = 1, n >= 2. A316269
One-sixth the area of the smallest primitive d-arithmetic triangle, where d=A072330(n). A72360
Numbers having exactly four representations by the quadratic form x2+xy+y2 with 0<=x<=y. A198775
Products of three distinct primes of the form 6·k + 1. A154729