Properties of the Number 16849

Sixteen Thousand Eight Hundred Forty-Nine

Basics

Value: 16848 → 16849 → 16850

Parity: odd

Prime: No

Previous Prime: 16843

Next Prime: 16871

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 29 × 83

Divisors: 1, 7, 29, 83, 203, 581, 2407, 16849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000111010001

Octal: 40721

Duodecimal: 9901

Hexadecimal: 41d1

Square: 283888801

Square Root: 129.80369794424195

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 T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327116

Consider the Diophantine equation x³ + y³ = z³ - 1 (0 < x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of z. A50787

a(0)=1, a(1)=1, a(n)=7·a(n/2) for n=2,4,6,..., a(n)=6·a((n-1)/2)+a((n+1)/2) for n=3,5,7,.... A116522

The·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). A264351

Odd numbers m that are neither of the form p + 2^k nor of the form p - 2^k with 2^k < m, k >= 1, and p prime. A255967

Solutions of the Pell-like equation 1 + 6·A*A = 7·B*B, with A, B integers. A153111

Number of iterations of A268395 needed to reach zero from 2ⁿ: a(n) = A268708(2ⁿ). A268709

Number of iterations of A268395 needed to reach zero from 2ⁿ + 1: a(n) = A268708(2ⁿ + 1). A268710

a(n) = n³ - n² - 2·n + 1. A123972

Triangle of coefficients of polynomials v(n,x) jointly generated with A210864; see the Formula section. A210865