Properties of the Number 10299

Ten Thousand Two Hundred Ninety-Nine

Basics

Value: 10298 → 10299 → 10300

Parity: odd

Prime: No

Previous Prime: 10289

Next Prime: 10301

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3433

Divisors: 1, 3, 3433, 10299

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000111011

Octal: 24073

Duodecimal: 5B63

Hexadecimal: 283b

Square: 106069401

Square Root: 101.48398888494677

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

Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951). A1522

Shifts one place left under 2nd-order binomial transform. A4211

Number T(n,k) of set partitions of [n] with symmetric block size list of length k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A275281

a(n) = (4·n³-3·n²+5·n-3)/3. A177342

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors. A283282

Positive integers of the form (2·m²+1)/11. A179088

Triangle read by rows. T(n, k) = kⁿ * BellPolynomial(n, 1/k) for k > 0, if k = 0 then T(n, k) = kⁿ. A350260

Exponential Riordan array [exp(sinh(x)*exp(x)), sinh(x)*exp(x)]. A154602

G.f. satisfies: A(x) = 1/(1 - x·A(x)²/(1 - x²*A(x)²/(1 - x³*A(x)²/(1 - x⁴*A(x)²/(1 - ...))))), a recursive continued fraction. A192729

Square array read by antidiagonals upwards: T(n,k) = ∑_j=1..k n^k-j*Stirling₂(k,j) (n >= 0, k >= 1). A241578