Properties of the Number 10257

Ten Thousand Two Hundred Fifty-Seven

Basics

Value: 10256 → 10257 → 10258

Parity: odd

Prime: No

Previous Prime: 10253

Next Prime: 10259

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 263

Divisors: 1, 3, 13, 39, 263, 789, 3419, 10257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000010001

Octal: 24021

Duodecimal: 5B29

Hexadecimal: 2811

Square: 105206049

Square Root: 101.2768482921936

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) = ∑_i=1..n C(i+2,3)⁴. A86022

Number of integer partitions of n whose maximal anti-runs do not all have different maxima. A375401

Numbers k with exactly three distinct prime factors and such that cototient(k) is a square. A306670

a(n) = floor(2ⁿ csc(1/n)). A333186

Number of 4-tuples of primes in arithmetic progression less than 10ⁿ. A115609

Number of n-bead ternary necklaces (no turning over allowed) that avoid the subsequence 110. A274018

a(n) = ∑_{k = 0..n-1} binomial(n,k)² * binomial(n+k-1,k)². A361713

Third Lie-Betti number of a path graph on n vertices. A361230

G.f.: (x+4·x³+x⁵)/((1-x)²*(1-x²)²*(1-x³)). A83707

Numbers k such that k + σ(k) + φ(k) is a square. A116009