Properties of the Number 2985

Two Thousand Nine Hundred Eighty-Five

Basics

Value: 2984 → 2985 → 2986

Parity: odd

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 199

Divisors: 1, 3, 5, 15, 199, 597, 995, 2985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101110101001

Octal: 5651

Duodecimal: 1889

Hexadecimal: ba9

Square: 8910225

Square Root: 54.63515351859094

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

Numbers that are the sum of 10 positive 6th powers. A3366

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Integers k such that 10^k + 31 is prime. A107083

a(n) = floor(n*φ¹¹), where φ is the golden ratio, A001622. A4926

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252574

Number of partitions of n having no doubletons. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] of 18 has two doubletons, shown between parentheses). A116645

T(n,k) = Number of n X k 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224146

Number of n-digit squares with no zero digits. A104264

Array read by columns: T(n,m) = number of unlabeled graphs with n vertices and m unicyclic components. A137918

a(n) = ∑_k=0..n (-1)^n-k * binomial(n,k) * binomial(4·k,k) / (3·k + 1). A346664