Properties of the Number 70736

Seventy Thousand Seven Hundred Thirty-Six

Basics

Value: 70735 → 70736 → 70737

Parity: even

Prime: No

Previous Prime: 70729

Next Prime: 70753

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 4421

Divisors: 1, 2, 4, 8, 16, 4421, 8842, 17684, 35368, 70736

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001010001010000

Octal: 212120

Duodecimal: 34B28

Hexadecimal: 11450

Square: 5003581696

Square Root: 265.9624033580686

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

y-values in the solution to 17·x² - 16 = y². A199773

G.f.: ∑_n>=0 4ⁿ * ((1+x)ⁿ - 1)ⁿ. A301583

Number of maximal independent vertex sets (and minimal vertex covers) in the n-triangular honeycomb bishop graph. A290615

Numerators of continued fraction convergents to sqrt(272). A41510

Number of nX3 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317736

3-apexes of ω: numbers k such that ω(k-3) < ω(k-2)< ω(k-1) < ω(k) > ω(k+1) > ω(k+2) > ω(k+3), where ω(m) = the number of prime factors of m, counting multiplicity. A76760

Let r, s, t, u be four permutations of the set { 1, 2, 3, ..., n }; a(n) = minimal value of ∑_i=1..n r(i)*s(i)*t(i)*u(i). A70736

Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 4 king-move adjacent elements, with upper left element zero. A297911