Properties of the Number 29814

Twenty-Nine Thousand Eight Hundred Fourteen

Basics

Value: 29813 → 29814 → 29815

Parity: even

Prime: No

Previous Prime: 29803

Next Prime: 29819

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 4969

Divisors: 1, 2, 3, 6, 4969, 9938, 14907, 29814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010001110110

Octal: 72166

Duodecimal: 15306

Hexadecimal: 7476

Square: 888874596

Square Root: 172.66731016611106

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 (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755

Recurrence a(n+2) = ∑_k=0..n binomial(n,k)*a(k)*a(n+1-k) with a(0)=3, a(1)=-2. A289069

Number of partitions p of n such that the multiplicity of the median of p is a part of p. A240492

Numbers whose square starts with 4 identical digits. A132391

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

Number of rooted unlabeled trees where the root node has degree 2 and both branches are distinct. A217420

Numbers whose square starts with exactly 4 identical digits. A346940

Number of (n+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250748

Number of (n+1) X (5+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250752

Number of (5+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250760