Properties of the Number -10055

Ten Thousand Fifty-Five

Basics

Value: -10056 → -10055 → -10054

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 2011

Divisors: 1, 5, 2011, 10055

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10011101000111

Octal: -23507

Duodecimal: -599B

Hexadecimal: -2747

Square: 101103025

Square Root: 100.27462291128299

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)=Number of nXk arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row. A221623

Number of integer partitions of n with superdiagonal run-lengths. A388714

Numbers n such that the sum of digits of 2n equals 4. A279772

Integers that need 10 iterations of the map x->A352172(x) to reach 1. A352268

Number of primes whose binary expansion begins '11' (A080166) in range ]2ⁿ,2ⁿ⁺¹]. A95766

Array read by antidiagonals: T(m,n) = number of m-ary words of length n with cyclically adjacent elements differing by 3 or less. A285281

G.f. satisfies: A(x) = x/(x - B(x²)) where B(x/A(x)) = x and B(x) is the g.f. of A141200. A178852

Where record values occur in A227617. A227633

Number of base 5 circular n-digit numbers with adjacent digits differing by 3 or less. A124999

Cubes written in base 6. A4636