Properties of the Number 4885

Four Thousand Eight Hundred Eighty-Five

Basics

Value: 4884 → 4885 → 4886

Parity: odd

Prime: No

Previous Prime: 4877

Next Prime: 4889

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 977

Divisors: 1, 5, 977, 4885

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100010101

Octal: 11425

Duodecimal: 29B1

Hexadecimal: 1315

Square: 23863225

Square Root: 69.8927750200262

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

Number of integer partitions with sum < n whose distinct parts cannot be linearly combined using nonnegative coefficients to obtain n. A365378

a(n) = T(2n-1,n-2), T given by A026747. A26752

Numbers k such that there are exactly 8 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 8. A80386

Composite squarefree numbers n such that p + τ(n) divides n - φ(n), where p are the prime factors of n, τ(n) = A000005(n) and φ(n) = A000010(n). A229324

Number of partitions of n such that the number of even parts is a part and the number of odd parts is not a part. A240577

Number of partitions of n into 4 or more distinct parts. A347549

a(1) = 932; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1). A105213

Triangle T(n, k) = Numbers of inequivalent (mod D₃) ways to place k points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle with sides parallel to the grid. Triangle read by rows. A243207

Values of r such that N(r)/r² > π, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r. A93832

a(n) = 13·n² - 16·n + 5. A202141