Properties of the Number 40817

Forty Thousand Eight Hundred Seventeen

Basics

Value: 40816 → 40817 → 40818

Parity: odd

Prime: No

Previous Prime: 40813

Next Prime: 40819

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 ⁴ × 17

Divisors: 1, 7, 17, 49, 119, 343, 833, 2401, 5831, 40817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111101110001

Octal: 117561

Duodecimal: 1B755

Hexadecimal: 9f71

Square: 1666027489

Square Root: 202.03217565526538

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

Number of partitions of n where the difference between consecutive parts is at most 6. A238866

a(n) is the largest term encountered on the path to 0 when iterating the map x -> x', and starting from x = A351255(n). Here x' means the arithmetic derivative of x, A003415. A351261

Structured rhombic triacontahedral numbers (vertex structure 7). A100165

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+343)² = y². A118611

Negative value of coefficient of x^n-4 in the characteristic polynomial of a certain n X n integer circulant matrix. A127409

Triangular table containing values of coefficients of the characteristic polynomial of a certain n·n circulant matrix, read by rows. A127412

Odd numbers k, not powers of primes, such that σ(k) == 2 modulo 8 and σ(σ(k)) == 6 modulo 8. A332458

Triangle read by rows: T(n,k) is the number of non-isomorphic multiset partitions of weight n with k parts and no constant parts or vertices that appear in only one part, 0 <= k <= floor(n/2). A369286

Positive numbers b such that a + b + c = d are abcd quadruples in the "abcd-conjecture" with a < b < c < d, all |a|, b, c, d are pairwise coprime, the quality q of the quadruple has q > 1, term a = +/- 1 = A376149(n) and term c = A376143(n). Quadruples are sorted by c then b. A376144

Positive numbers y such that y² is of the form x²+(x+16807)² with integer x. A156713