Properties of the Number 10436

Ten Thousand Four Hundred Thirty-Six

Basics

Value: 10435 → 10436 → 10437

Parity: even

Prime: No

Previous Prime: 10433

Next Prime: 10453

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 2609

Divisors: 1, 2, 4, 2609, 5218, 10436

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011000100

Octal: 24304

Duodecimal: 6058

Hexadecimal: 28c4

Square: 108910096

Square Root: 102.15674231297707

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

G.f.: 1/((1-x)*(1-x²)*(1-x³)²*(1-x⁴)*(1-x⁵)). A3402

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique value such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50032

a(n) = a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 2. A50048

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A50064

Smallest even fundamental discriminant k such that h(-k) = 2n, where h(D) is the class number of the quadratic field with discriminant D; or 0 if no such k exists. A344072

Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is a part. A241447

a(n) = 2*(n³ + n² + n - 1). A155120

Expansion of ∏_k>=1 (1 - x^k)^k/(1 - x^5·k)^5·k. A285285

Number of compositions (ordered partitions) of n into distinct parts, the least being 7. A339170

Number of alternating sign n X n matrices symmetric with respect to both diagonals. A5162