Properties of the Number 10447

Ten Thousand Four Hundred Forty-Seven

Basics

Value: 10446 → 10447 → 10448

Parity: odd

Prime: No

Previous Prime: 10433

Next Prime: 10453

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31 × 337

Divisors: 1, 31, 337, 10447

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001111

Octal: 24317

Duodecimal: 6067

Hexadecimal: 28cf

Square: 109139809

Square Root: 102.21056696839129

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 partitions of n such that the set of parts and the set of multiplicities of parts are disjoint. A114639

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order. A204056

Numerator of (1/n)*∑_k=0..n-1 1/binomial(n-1,k) for n>0 else 0. A46878

Sum of 1-bits between the most and least significant bits summed for all primes in range ]2ⁿ,2ⁿ⁺¹]. A95298

Partial sums of A002522, starting at n=1. A145066

The y member of the positive proper fundamental solution (x = x2(n), y = y2(n)) of the second class for the Pell equation x² - D(n)*y² = +8 for odd D(n) = A263012(n). A264353

Square array A(n, k) = A048720(A065621(σ((2n-1)²)), σ((2k-1)²)), read by falling antidiagonals, (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), etc. A379221

Numerators of b(n) = b(n-1)/2 + 1/(2·n), b(0)=0. A242376

a(n) is the number of positive integers k for which ∑_i=1..r p_i = ∑_i=1..r e_i = n, where p₁^e_1*...*p_r^e_r is the canonical prime factorization of k. A390784

Numbers k > 1 such that k mod ord2(k) is even, where ord2(k) is the order of 2 mod k. A36260