Properties of the Number 9456

Nine Thousand Four Hundred Fifty-Six

Basics

Value: 9455 → 9456 → 9457

Parity: even

Prime: No

Previous Prime: 9439

Next Prime: 9461

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 197

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011110000

Octal: 22360

Duodecimal: 5580

Hexadecimal: 24f0

Square: 89415936

Square Root: 97.24196624914575

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) = (n + 2)*(2·n² - n + 3)/6. A56520

Numbers k in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number. A352136

21-gonal numbers: a(n) = n*(19n - 17)/2. A51873

Sum of largest parts (counted with multiplicity) of all partitions of n. A92321

Coefficients in q-expansion of E₂², where E₂ is the Eisenstein series shown in A006352. A281374

a(n) = a(n-1) + a(m) for n >= 3, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 3. A50069

Array read by columns: T(n,m) = number of unlabeled graphs with n vertices and m unicyclic components. A137918

Sum of odd-indexed primes. A77131

a(n) = ∑_{i+j=n, i,j >= 1} τ(i)*σ(j), where τ() = A000005(), σ() = A000203(). A191831

Sums of three consecutive pentagonal numbers. A129863