Properties of the Number 14385

Fourteen Thousand Three Hundred Eighty-Five

Basics

Value: 14384 → 14385 → 14386

Parity: odd

Prime: No

Previous Prime: 14369

Next Prime: 14387

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 137

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 137, 411

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 11100000110001

Octal: 34061

Duodecimal: 83A9

Hexadecimal: 3831

Square: 206928225

Square Root: 119.93748371547571

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

Total size of all principal order ideals in the poset of integer partitions of n with the refinement order. A265947

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Coefficients for step-by-step integration. A2404

3 times 10-gonal (or decagonal) numbers: a(n) = 3·n*(4·n-3). A152767

Triangle read by rows: coefficients for predictor y(x₁) for step-by-step integration. A260780

a(n) = n*(n² + 2·n - 1)/2. A127736

Triangle of numerators of coefficients of the polynomial Q²_m(n) defined by the recursion Q²_0(n)=1; for m>=1, Q²_m(n) = ∑_i=1..n i²*Q²_(m-1)(i). For m>=0, the denominator for all 3·m+1 terms of the m-th row is A202367(m+1). A175669

T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, vertical and antidiagonal neighbors in a random 0..1 nXk array. A220308

Total number of left-to-right maxima in all compositions of n into distinct parts. A336718

a(n) = 11ⁿ - 4ⁿ. A139742