Properties of the Number 4038

Four Thousand Thirty-Eight

Basics

Value: 4037 → 4038 → 4039

Parity: even

Prime: No

Previous Prime: 4027

Next Prime: 4049

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 673

Divisors: 1, 2, 3, 6, 673, 1346, 2019, 4038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111111000110

Octal: 7706

Duodecimal: 2406

Hexadecimal: fc6

Square: 16305444

Square Root: 63.54525946126902

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

Numbers m such that m² ends in 444. A39685

Numbers whose base-9 representation is a square when read in base 10. A267769

Positions in decimal expansion of π where next prime begins. A53013

Number of basic invariants for cyclic group of order and degree n. A2956

Expansion of the e.g.f. sqrt(1 / (2·exp(x) - 2·x*exp(x) - 1)). A345697

a(n) is the number of reduced stable marriage problem instances of order 4 that generate n possible stable matchings. A351430

a(n) = number of Egyptian fractions 1 = 1/x₁ + ... + 1/x_k (for any k), with max{x_i}=n. A92667

Number of primitive (aperiodic, or Lyndon) necklaces with n beads of unlabeled colors such that the numbers of beads per color are distinct. A261599

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood. A279147