Properties of the Number 1816

One Thousand Eight Hundred Sixteen

Basics

Value: 1815 → 1816 → 1817

Parity: even

Prime: No

Previous Prime: 1811

Next Prime: 1823

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 227

Divisors: 1, 2, 4, 8, 227, 454, 908, 1816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11100011000

Octal: 3430

Duodecimal: 1074

Hexadecimal: 718

Square: 3297856

Square Root: 42.61455150532503

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 ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Number of strict knapsack partitions of n. A275972

Number of partitions of n with some part repeated. A47967

Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

Triangle read by rows of partial sums of binomial coefficients: T(n,k) = ∑_i=0..k binomial(n,i) (0 <= k <= n); also dimensions of Reed-Muller codes. A8949

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

Number of subsets of {1..n} such that it is not possible to choose a different prime factor of each element. A370583

Number of ways to partition 2n into distinct positive integers. A35294

|First digit - second digit + third digit - fourth digit ...| = 12. A60980

Number of partitions of n into odd parts in which the largest part occurs only once. A117409