Properties of the Number 10388

Ten Thousand Three Hundred Eighty-Eight

Basics

Value: 10387 → 10388 → 10389

Parity: even

Prime: No

Previous Prime: 10369

Next Prime: 10391

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 ² × 53

Divisors: 1, 2, 4, 7, 14, 28, 49, 53, 98, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100010010100

Octal: 24224

Duodecimal: 6018

Hexadecimal: 2894

Square: 107910544

Square Root: 101.92153844992725

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

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599

Expansion of 1/(1 - x⁶/(1-x)⁷). A369809

Number of divisors of 240ⁿ. A103532

Number of ways to place 3 nonattacking kings on an n X n toroidal board. A179404

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

Number of ways to split 1, 2, 3, ..., 4n into n arithmetic progressions each with 4 terms. A104430

a(n) is the number of large or small squares that are used to tile primitive squares of type 1 whose length of side is A344333(n). A344334

a(n) = ∑_{k=0..floor(n/3)} binomial(k,2·n-6·k). A391399