Properties of the Number 29849

Twenty-Nine Thousand Eight Hundred Forty-Nine

Basics

Value: 29848 → 29849 → 29850

Parity: odd

Prime: No

Previous Prime: 29837

Next Prime: 29851

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 19 × 1571

Divisors: 1, 19, 1571, 29849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010011001

Octal: 72231

Duodecimal: 15335

Hexadecimal: 7499

Square: 890962801

Square Root: 172.76863141207087

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

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281715

a(n) = nⁿ - (n+1)^n-1. A101334

Expansion of ∏_k>=1 (1 - x^4·k)^4·k / (1 - x^k)^k. A285215

Start with 209; if even, divide by 2; if odd, add the next three primes: Trajectory of 209 under iterations of A174221, the "PrimeLatz" map. A293981

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 20 (most significant digit on right). A61949

Numerator of (1-1/n)^k - (1-k/n), 2<=k<=n, triangle read by rows. A99614

Smallest k such that (k+i)*prime(n)# - 1 is prime for i = 0, 1, 2, 3, 4 with prime(n)# = A002110(n) the n-th primorial, n>1. A277691

a(n) = -2·a(n-1) + a(n-2) + a(n-3), a(0) = -1, a(1) = 3, a(2) = -9. A321173

Number of 6 X 6 binary matrices with n ones, distinct up to cyclic shifts of rows and/or columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also number of quasi-n-ominoes on a torus divided into a 6 X 6 grid. A93469

Numbers n such that f(n), f(n+1) and f(n+2) are prime, f(m)=72·m²+7. A121089