Properties of the Number 69823

Sixty-Nine Thousand Eight Hundred Twenty-Three

Basics

Value: 69822 → 69823 → 69824

Parity: odd

Prime: No

Previous Prime: 69821

Next Prime: 69827

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 13 × 41 × 131

Divisors: 1, 13, 41, 131, 533, 1703, 5371, 69823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000010111111

Octal: 210277

Duodecimal: 344A7

Hexadecimal: 110bf

Square: 4875251329

Square Root: 264.2404208292138

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 non-biquanimous subsets of {1..n}. Sets with no subset having the same sum as the complement. A371792

Shifts one place left under 6th-order binomial transform. A5012

a(n) = [xⁿ] ∑_k>=0 x^k/∏_j=1..k (1 - n·j*x). A301419

Number of integer partitions of n whose multiplicities appear with relatively prime multiplicities. A319160

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

a(n) is number of solutions of the equation σ(x)=10ⁿ. A110078

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

G.f. A(x) satisfies A(x) = 1 + x·abs( 1/A(x) )². A380708

Square array read by antidiagonals downwards: T(n,k) = ∑_j=1..k n^k-j*Stirling₂(k,j) (n >= 0, k >= 1). A241579

Nonprime numbers k for which there is no x < k such that φ(x) = φ(k). A69823