Properties of the Number 39972

Thirty-Nine Thousand Nine Hundred Seventy-Two

Basics

Value: 39971 → 39972 → 39973

Parity: even

Prime: No

Previous Prime: 39971

Next Prime: 39979

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3331

Divisors: 1, 2, 3, 4, 6, 12, 3331, 6662, 9993, 13324

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110000100100

Octal: 116044

Duodecimal: 1B170

Hexadecimal: 9c24

Square: 1597760784

Square Root: 199.92998774571063

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 nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222769

Numbers that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in exactly eight ways. A345830

Number of free polynars with n cells. A390620

a(n) = 4*(10ⁿ-7). A177112

Numbers k such that φ(k-6) = φ(k) = φ(k+6). A217006

Indices of primes in sequence defined by A(0) = 73, A(n) = 10·A(n-1) + 13 for n > 0. A101140

Number of 3Xn 0..1 arrays with exactly floor(3Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222771

An example of a d-perfect sequence: a(n) = A007317(n) mod 3. A39972