Properties of the Number 29580

Twenty-Nine Thousand Five Hundred Eighty

Basics

Value: 29579 → 29580 → 29581

Parity: even

Prime: No

Previous Prime: 29573

Next Prime: 29581

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 17 × 29

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001110001100

Octal: 71614

Duodecimal: 15150

Hexadecimal: 738c

Square: 874976400

Square Root: 171.98837169994954

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

Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x). A97030

Number of integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others. A343346

Expansion of ∏_m>=1 (1+q^m)^-4. A22599

McKay-Thompson series of class 24E for the Monster group. A112160

Triangle read by rows: T(m,n) is the Szeged index of the grid graph P_m X P_n (1 <= n <= m). A245826

Numbers that are members of unitary σ aliquot cycles (union of unitary perfect, unitary amicable and unitary sociable numbers). A327157

a(n) = area of Pythagorean triangle with hypotenuse p, where p = A002144(n) = n-th prime == 1 (mod 4). A145010

a(n) = 16·n² - 4. A158443

Irregular triangle of cycles of purely periodic unitary σ aliquot sequences with their smallest member as starting number, read by rows. A336216

Triangle read by rows: T(n,k) = ∑_i=0..n-1 binomial(n-1, i)*T(n-1-i,k-1) - ∑_i=1..n-1 binomial(n-1,i)*T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise). A341287