Properties of the Number -53

Fifty-Three

Basics

Value: -54 → -53 → -52

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 53

Divisors: 1, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110101

Octal: -65

Duodecimal: -45

Hexadecimal: -35

Square: 2809

Square Root: 7.280109889280518

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) = n * μ(n), where μ is the Möbius function A008683. A55615

a(n) = 2 - n. A22958

Expansion of η(q)⁵ * η(q³) * η(q⁶)⁴ / η(q²)⁴ in powers of q. A214262

Inverse binomial transform of primes. A7442

T(n,0) = prime(n), T(n,k) = T(n,k-1)-T(n-1,k-1), 0<=k<n, triangle read by rows. A95195

Deficiency minus binary weight: a(n) = A033879(n) - A000120(n) = A005187(n) - A000203(n). A294898

Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x²/(1+x³/(1+x⁴/(1+...)))). A3823

Coefficients of the 3rd-order mock θ function f(q). A25

a(n) = n*(-1)ⁿ. A38608

Array read by antidiagonals downward where A(n,k) is the n-th term of the k-th differences of the noncomposite numbers (A008578). A376682