Properties of the Number 15793

Fifteen Thousand Seven Hundred Ninety-Three

Basics

Value: 15792 → 15793 → 15794

Parity: odd

Prime: No

Previous Prime: 15791

Next Prime: 15797

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 17 × 929

Divisors: 1, 17, 929, 15793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11110110110001

Octal: 36661

Duodecimal: 9181

Hexadecimal: 3db1

Square: 249418849

Square Root: 125.67020331009256

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 parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused). A6958

Number of 1324-avoiding permutations of length n. A61552

a(1)=1, a(2)=2; for n >= 2, a(n+1) = a(n) + sum of prime factors of a(n). A96461

Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 1324. 0 <= k <= A342853(n). A342861

Expansion of 1/(1 - ∑_k>=0 x^(2·k+1²)). A280863

Triangle read by rows: T(n,k) = T(n-k,k-1) + 2·T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n). A291929

Sizes of successive balls in D₄ lattice. A46949

a(n) = sum(sum(binomial(j-n-1,m),m=0..n),j=0..n). A92785

Records in A117677. A117679

Nonnegative integers k such that the Chebyshev distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393333