Properties of the Number 74687

Seventy-Four Thousand Six Hundred Eighty-Seven

Basics

Value: 74686 → 74687 → 74688

Parity: odd

Prime: Yes

Previous Prime: 74653

Next Prime: 74699

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 74687

Divisors: 1, 74687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001110111111

Octal: 221677

Duodecimal: 3727B

Hexadecimal: 123bf

Square: 5578147969

Square Root: 273.28922408320454

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

Triangle, read by rows, where row n equals the inverse binomial of column n of square array A100324, which lists the self-convolutions of SHIFT(A003169). A100326

First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4). A54813

Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54814

Number of 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192692

First term of the earliest sequence of n consecutive strong primes. A235874

Permutation of natural numbers induced by the Catalan bijection gmA074687! acting on the parenthesizations encoded by A014486/A063171. A74687

a(n) = [xⁿ] ( c (x/(1 + x)) )ⁿ, where c(x) = (1 - sqrt(1 - 4·x))/(2·x) is the o.g.f. of the Catalan numbers A000108. A333472