Properties of the Number -1653

Six Hundred Fifty-Three

Basics

Value: -1654 → -1653 → -1652

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 29

Divisors: 1, 3, 19, 29, 57, 87, 551, 1653

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11001110101

Octal: -3165

Duodecimal: -B59

Hexadecimal: -675

Square: 2732409

Square Root: 40.65710270051225

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 e.g.f: log(1+x)/cosh(tanh(x)). A9434

a(n) = bin_prime_sum(fibonacci(A001651[n])), where fibonacci(A001651[n]) is A014437[n]. A59878

Expansion of ∏_m>=1 (1+m·q^m)^-15. A22707

a(n)= ∑_{j=0..floor(n/2)} A073145(2·j + q), where q = 2*(n/2 - floor(n/2)). A74585

Expansion of g.f.: f'(t)/f(t), where f(t) = ∑_{p prime} t^p. A307977

Hexagonal numbers: a(n) = n*(2·n-1). A384

Number of points of norm <= n² in square lattice. A328

Irregular triangle read by rows: Take a regular n-sided polygon (n>=3) with all diagonals drawn, as in A007678. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., max_k. A331450

Numbers that are the sum of 8 positive 6th powers. A3364

Number of divisors of nⁿ, or of A000312(n). A62319