Properties of the Number 10748

Ten Thousand Seven Hundred Forty-Eight

Basics

Value: 10747 → 10748 → 10749

Parity: even

Prime: No

Previous Prime: 10739

Next Prime: 10753

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 2687

Divisors: 1, 2, 4, 2687, 5374, 10748

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111111100

Octal: 24774

Duodecimal: 6278

Hexadecimal: 29fc

Square: 115519504

Square Root: 103.67256146155549

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

Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Expansion of ∏_k>=1 1/(1-x^3·k-2)^k. A262877

Total number of parts in all partitions of n into prime parts. A84993

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753

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

a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k. A89493

G.f. satisfies A(x) = exp( ∑_k>=1 (A(x^k) + A(i·x^k) + A(-x^k) + A(i³*x^k))/4·x^k/k ), where i = sqrt(-1). A363405

Least integer ν such that the first zero of the Bessel j-function of index ν is at least ν + n. A360284

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k. A306232

Shifts 4 places right under inverse binomial transform. A10748