Properties of the Number 90137

Ninety Thousand One Hundred Thirty-Seven

Basics

Value: 90136 → 90137 → 90138

Parity: odd

Prime: No

Previous Prime: 90127

Next Prime: 90149

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 23 × 3919

Divisors: 1, 23, 3919, 90137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000011001

Octal: 260031

Duodecimal: 441B5

Hexadecimal: 16019

Square: 8124678769

Square Root: 300.22824650588757

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

a(n) is the first k such that if x(1) = k and x(i+1) = A062028(x(i)), x(1) to x(n) are all semiprimes but x(n+1) is not. A376693

Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs). A1035

Number of partitions of 1 into n powers of 1/2; or (according to one definition of "binary") the number of binary rooted trees. A2572

Irregular triangle of coefficients of a partition transform for direct Lagrange inversion of an o.g.f., complementary to A134685 for an e.g.f.; normalized by the factorials, these are signed, refined face polynomials of the associahedra. A133437

Square array A(h,k) = (2^h-1)*A(h,k-1) + ∑_i=1..h-1 binomial(h,h-i)*2ⁱ*A(i,k-1), with A(1,k) = A(h,1) = 1; read by antidiagonals. A218695

Numerator of the probability that the sum of n uniform picks on [0,1] is first greater than 2 (i.e., the sum of n-1 is not). A90137

Erroneous version of A223911: Tiered orders on n nodes. A6860

a(n) = A001864(n+1)/2. A36276

The largest nonnegative integer j for which each integer n,n+2,...,n+2j can be written as the sum of the squares for some partition of n. A381811

The largest nonnegative integer value of j for which each integer n, n+2, ..., j-4, j-2, j can be written as the sum of the squares of the elements of a partition of n. A383682