Properties of the Number -4097

Ninety-Seven

Basics

Value: -4098 → -4097 → -4096

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 241

Divisors: 1, 17, 241, 4097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000000000001

Octal: -10001

Duodecimal: -2455

Hexadecimal: -1001

Square: 16785409

Square Root: 64.00781202322104

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

Expansion of q^-1/24 (m (1-m) / 16)^1/24 in powers of q, where m = k² is the parameter and q is the nome for Jacobian elliptic functions. A81360

Coefficient of q²ⁿ in the series expansion of Ramanujan's mock θ function f(q). A39

a(n) is the n-th term of sequence A_n, ignoring the offset, or -1 if A_n has fewer than n terms. A91967

a(n) = ∑_{d divides n} (-1)^{d + n/d} * d¹². A321809

Dirichlet inverse of A005941. A364574

Expansion of (1 + x - x²)/((1 + x)*(1 + 2·x)). A248155

Dirichlet inverse of function f(n) = 1 + A048675(n), where A048675(n) is fully additive with a(p) = 2^1-PrimePi(p). A359795

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

a(n) = 2ⁿ + 1. A51

a(n) = 4ⁿ + 1. A52539