Properties of the Number 4138

Four Thousand One Hundred Thirty-Eight

Basics

Value: 4137 → 4138 → 4139

Parity: even

Prime: No

Previous Prime: 4133

Next Prime: 4139

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 2069

Divisors: 1, 2, 2069, 4138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000101010

Octal: 10052

Duodecimal: 248A

Hexadecimal: 102a

Square: 17123044

Square Root: 64.32728814430156

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

a(n) = 2·n² + 6·n + 2. A90288

Coefficients of the '3rd-order' mock θ function ω(q). A53253

Positive integers n such that n¹⁷ + 1 is semiprime (A001358). A104494

Number of rooted trees where each node has at most 4 children. A36718

Numbers n such that p(10n) is prime, where p(n) is the number of partitions of n. A114170

Expansion of cube of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55102

Positive integers n such that n¹⁹ + 1 is semiprime (A001358). A104657

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order. A231463

Numbers that have 8 terms in their Zeckendorf representation. A179248