Properties of the Number 29770

Twenty-Nine Thousand Seven Hundred Seventy

Basics

Value: 29769 → 29770 → 29771

Parity: even

Prime: No

Previous Prime: 29761

Next Prime: 29789

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 13 × 229

Divisors: 1, 2, 5, 10, 13, 26, 65, 130, 229, 458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010001001010

Octal: 72112

Duodecimal: 1528A

Hexadecimal: 744a

Square: 886252900

Square Root: 172.53985046939155

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 4·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - x - x². A367209

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222690

Number of ways to write n as an ordered sum of 10 nonzero tetrahedral numbers. A341809

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood. A287908

Number of twice-partitions of n into partitions with all odd lengths and sums. A358827

a(n) = 5*(n+1)*(9·n+4). A304507

Number of binary strings of length n with equal numbers of 0010 and 1001 substrings. A164169

Number of nX5 0..2 arrays with exactly floor(nX5/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222687

Number of 4Xn 0..2 arrays with exactly floor(4Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222693

Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302463