Properties of the Number 6413

Six Thousand Four Hundred Thirteen

Basics

Value: 6412 → 6413 → 6414

Parity: odd

Prime: No

Previous Prime: 6397

Next Prime: 6421

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 11 ² × 53

Divisors: 1, 11, 53, 121, 583, 6413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100001101

Octal: 14415

Duodecimal: 3865

Hexadecimal: 190d

Square: 41126569

Square Root: 80.0812087820857

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 integer partitions of n with more than one part of least multiplicity. A362609

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. A297607

a(n) = T(n,n-4), array T as in A055807. A55809

Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)². A72849

Relative of Hofstadter Q-sequence: a(n) = max(0, n+3201) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A373236

Start with 83; if even, divide by 2; if odd, add next three primes: Orbit of 83 under iterations of A174221, the "PrimeLatz" map. A293979

Numbers that are cubefree, but not squarefree and whose first arithmetic derivative is not squarefree, but some k-th (with k >= 2) derivative is. A328305

Number of primes < n³. A38098

a(n) = ∑_{k=0..floor(n/2)} (k+1) * binomial(k,2*(n-2·k)). A392251

Number of (18,7)-reverse multiples with n digits. A226516