Properties of the Number 12367

Twelve Thousand Three Hundred Sixty-Seven

Basics

Value: 12366 → 12367 → 12368

Parity: odd

Prime: No

Previous Prime: 12347

Next Prime: 12373

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 83 × 149

Divisors: 1, 83, 149, 12367

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001001111

Octal: 30117

Duodecimal: 71A7

Hexadecimal: 304f

Square: 152942689

Square Root: 111.20701416727275

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

Least k such that H(k) > n, where H(k) is the harmonic number ∑_i=1..k 1/i. A2387

Least k such that H(k) >= n, where H(k) is the harmonic number ∑_i=1..k 1/i. A4080

Numbers k such that σ(k) = σ(k+4). A15863

G.f.: exp( ∑_n>=1 (xⁿ/n) / ∏_d∣n (1 - d·x^d)ⁿ ). A205490

Number of books required for n book-lengths of overhang in the harmonic book stacking problem. ∑_i=1..a(n) 1/i >= 2n and ∑_i=1..a(n)-1 1/i < 2n. A14537

Triangle read by rows: enumerates pairs of amicable permutations by rises. A259465

Numbers (with nonzero digits only) where A046810 increases. A46811

Numbers n such that the best rational approximation to H(n) with denominator <=n is an integer, where H(n) denotes the n-th harmonic number (A001008/A002805). A79353

Potential magic constants of 7 X 7 magic squares composed of consecutive primes. A188536

Products of exactly two distinct primes in A090252, in order of appearance. A354160