Properties of the Number 29984

Twenty-Nine Thousand Nine Hundred Eighty-Four

Basics

Value: 29983 → 29984 → 29985

Parity: even

Prime: No

Previous Prime: 29983

Next Prime: 29989

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 937

Divisors: 1, 2, 4, 8, 16, 32, 937, 1874, 3748, 7496

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010100100000

Octal: 72440

Duodecimal: 15428

Hexadecimal: 7520

Square: 899040256

Square Root: 173.1588865753069

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 partitions p of n such that 2*(number of even numbers in p) >= (number of odd numbers in p). A241654

Expansion of 1/∏_k>=1 (1 - x^k)^{valuation(k,4} + 1). A373295

Smallest k > 0 with gcd(k, rev(k)) = n, where rev(k) is digit reversal of k and with sum of digits of k = n, or 0 if no such k exists. A333666

Number of ternary rooted trees with n nodes and height exactly 7. A36422

a(1) = 1; a(m) = minimum numerator possible with a continued fraction [b(1);b(2),b(3),...b(m-1)], where (b(1),b(2),b(3),...b(m-1)) is a permutation of (a(1),a(2),a(3),...a(m-1)). A105788

Numbers k such that k² is palindromic in base 3. A29984

Number of (n+1)X(2+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both. A234754