Properties of the Number 1602

One Thousand Six Hundred Two

Basics

Value: 1601 → 1602 → 1603

Parity: even

Prime: No

Previous Prime: 1601

Next Prime: 1607

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 89

Divisors: 1, 2, 3, 6, 9, 18, 89, 178, 267, 534

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001000010

Octal: 3102

Duodecimal: B16

Hexadecimal: 642

Square: 2566404

Square Root: 40.024992192379

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

Sum of multinomial coefficients (n₁+n₂+...)!/(n₁!*n₂!*...) where (n₁, n₂, ...) runs over all integer partitions of n. A5651

Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n² + 2. A5899

a(n) = n² + 2. A59100

Number of different hierarchical orderings that can be formed from n labeled elements: these are divided into groups and the elements in each group are then arranged in a "preferential arrangement" or "weak order" as in A000670. A75729

Number of partitions of n into at most 5 parts. A1401

Triangle read by rows: T(n,k) (n>=1; 1<=k<=n) is the number of permutations of [n] in which the longest increasing run has length k. A8304

Number of partitions of n in which the greatest part is 5. A26811

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 6 as largest digit. A256633

Numbers m such that there are precisely 10 groups of order m. A249553

a(0) = 1, a(n) = n² + 2 for n > 0. A10000