Properties of the Number 11972

Eleven Thousand Nine Hundred Seventy-Two

Basics

Value: 11971 → 11972 → 11973

Parity: even

Prime: No

Previous Prime: 11971

Next Prime: 11981

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 41 × 73

Divisors: 1, 2, 4, 41, 73, 82, 146, 164, 292, 2993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011000100

Octal: 27304

Duodecimal: 6B18

Hexadecimal: 2ec4

Square: 143328784

Square Root: 109.41663493271945

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 k such that k | sigma₆(k). A55710

G.f. satisfies: A(x) = ∑_n>=0 (A(x)ⁿ + 1)ⁿ * xⁿ / (1-2·x)ⁿ⁺¹. A251179

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 2. A49890

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns ending at an odd level (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121697

a(n) = 36·n² - 55·n + 21. A157262

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x² + ... + xⁿ to the polynomial A_k*(x-k)^k for 0 <= k <= n. A242598

Average number of binary strings of length n with Levenshtein distance <= 3 from a uniform randomly sampled binary string of this length, rounded to nearest integer. A332918

a(n) = ∑_{1 <= x₁ <= x₂ <= x₃ <= x₄ <= x₅ <= n} gcd(x₁, x₂, x₃ , x₄, x₅, n). A343519

Numbers k such that 37·2^k+1 is prime. A32368

Number of nondecreasing -n..n vectors of length 3 whose dot product with some nonincreasing -n..n vector equals 3. A226400