Properties of the Number -1953

Nine Hundred Fifty-Three

Basics

Value: -1954 → -1953 → -1952

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 31

Divisors: 1, 3, 7, 9, 21, 31, 63, 93, 217, 279

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11110100001

Octal: -3641

Duodecimal: -1169

Hexadecimal: -7a1

Square: 3814209

Square Root: 44.19275958796871

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) = ∑_d∣n (-1)^d-1*d². A321543

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (3i-2 if i=j and = 0 otherwise), as in A204160. A204161

Expansion of exp( ∑_n>=1 -sigma₂(3·n)*xⁿ/n ) in powers of x. A283243

Irregular triangle read by rows: coefficients of Olinde Rodrigues recursive polynomial for inversions of permutations applied to Bonnaci type polynomials: x - 1, x² - x - 1, x³ - x² - x - 1, etc. A133333

a(n) = ∑_k=0..n-1 (-1)^k*A000172(k). A207318

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n. A23893

The non-repetitive Kaprekar binary numbers in decimal. A163205

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

Number of length n inversion sequences avoiding the patterns 110, 120, and 210. A279569