Properties of the Number 4738

Four Thousand Seven Hundred Thirty-Eight

Basics

Value: 4737 → 4738 → 4739

Parity: even

Prime: No

Previous Prime: 4733

Next Prime: 4751

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 23 × 103

Divisors: 1, 2, 23, 46, 103, 206, 2369, 4738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001010000010

Octal: 11202

Duodecimal: 28AA

Hexadecimal: 1282

Square: 22448644

Square Root: 68.83313155741209

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

Ménage numbers: a(0) = 1, a(1) = -1, and for n >= 2, a(n) = number of permutations s of [0, ..., n-1] such that s(i) ≠ i and s(i) ≠ i+1 (mod n) for all i. A179

Numbers n such that Bernoulli number B_n has denominator 282. A272184

a(n) = 1 + ∑_i=1..n (n-i+1)*φ(i). A5598

Triangle read by rows: T(n,k) = number of permutations of [n] allowing i->i+j (mod n), j=0..k-1. A8305

Numbers k such that σ(k) = σ(k+5). A15865

Triangle read by rows, giving coefficients of the ménage hit polynomials ordered by descending powers. T(n, k) for 0 <= k <= n. A58087

Same as A000179, except that a(0) = 2. A102761

Noncongruent squarefree numbers n with A248395(n)/d(n) = -2, where d(n) = A000005(n). A248406

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252228

Number of 9-almost primes 9ap such that 2ⁿ < 9ap <= 2ⁿ⁺¹. A120040