Properties of the Number -1757

Seven Hundred Fifty-Seven

Basics

Value: -1758 → -1757 → -1756

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 251

Divisors: 1, 7, 251, 1757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -11011011101

Octal: -3335

Duodecimal: -1025

Hexadecimal: -6dd

Square: 3087049

Square Root: 41.916583830269374

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

T(n, k) = A343277(n)*[x^k] p(n, x) where p(n, x) = (1/(n+1))*∑_k=0..n (-1)^k*E1(n, k)*x^{n - k} / binomial(n, k), and E1(n, k) are the Eulerian numbers A123125. Triangle read by rows, for 0 <= k <= n. A342321

Expansion of the series reversion of ∑_i>=1 xⁱ/(1 - xⁱ) / ∏_j>=1 (1 - x^j). A291695

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}. A79955

a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1. A3520

Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336

Numbers where 7 outnumbers any other digit. A292457

Numbers n such that φ(46,n) is prime, where φ is the cyclotomic polynomial. A250193

Position of rightmost 0 (including leading 0) in 2ⁿ increases. A31142

Number of partitions of n in which each part occurs a prime number (or 0) times. A55923

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252961