Properties of the Number 10389

Ten Thousand Three Hundred Eighty-Nine

Basics

Value: 10388 → 10389 → 10390

Parity: odd

Prime: No

Previous Prime: 10369

Next Prime: 10391

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3463

Divisors: 1, 3, 3463, 10389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010101

Octal: 24225

Duodecimal: 6019

Hexadecimal: 2895

Square: 107931321

Square Root: 101.92644406629714

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

Triangle of coefficients of Gaussian polynomials [2n+5,5]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=5n. A267485

Number of partitions p of n such that neither floor(mean(p)) nor ceiling(mean(p)) is a part. A241343

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181

Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments. A208182

a(n) = 13·n² + 7·n + 1. A168240

Semiprimes which have one or more occurrences of exactly five different digits. A235693

Position of first repeat of the opening sequence of length n occurring after the first repeat of the opening sequence of length n-1 in the Kolakoski sequence (A000002). A74300

Expansion of q^3/8 * η(q)³ / η(q³)⁴ in powers of q. A187427

a(n) is the position of the first occurrence of n³ in the concatenation of the positive integers in decimal representation. A290787

Numbers k such that A003132(k²) = A003132(k), where A003132(n) is the sum of the squares of the digits of n. A309883