Properties of the Number 10275

Ten Thousand Two Hundred Seventy-Five

Basics

Value: 10274 → 10275 → 10276

Parity: odd

Prime: No

Previous Prime: 10273

Next Prime: 10289

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 137

Divisors: 1, 3, 5, 15, 25, 75, 137, 411, 685, 2055

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000100011

Octal: 24043

Duodecimal: 5B43

Hexadecimal: 2823

Square: 105575625

Square Root: 101.36567466356647

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

Numbers m such that there are precisely 3 groups of order m. A55561

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 7 as largest digit. A256634

Number of unlabeled triangle-free graphs covering n vertices. A372169

Coefficients in the expansion of C/B², in Watson's notation of page 106. A160461

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order. A205440

Number of integer partitions of n whose length is not a semi-sum of the parts. A367398

Number of non-isomorphic set-systems of weight n with at least one singleton. A330053

a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 1. Also a(n) = T(n,n-1), where T is the array defined in A024996. A24998

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)³. A372928

Number of Motzkin paths of length n, starting with an up step, ending with a down step and having no peaks (can be easily expressed using RNA secondary structure terminology). A97779