Properties of the Number 99993

Ninety-Nine Thousand Nine Hundred Ninety-Three

Basics

Value: 99992 → 99993 → 99994

Parity: odd

Prime: No

Previous Prime: 99991

Next Prime: 100003

Digit Sum: 39

Digital Root: 3

Palindrome: No

Factorization: 3 × 33331

Divisors: 1, 3, 33331, 99993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011010011001

Octal: 303231

Duodecimal: 49A49

Hexadecimal: 18699

Square: 9998600049

Square Root: 316.21669785133105

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

For a positive number k, let L(k) denote the list consisting of k followed by the prime factors of k, with repetition, in nondecreasing order; sequence gives composite k such that the digits of L(k) are in nonincreasing order. A372034

Numbers k such that k * (k + 8) is the concatenation of a number m with itself. A116292

Numbers k such that k concatenated with itself gives the product of two numbers which differ by 8. A116161

n times n+9 gives the concatenation of two numbers m and m-8. A116240

a(n) is the largest number which can be formed with no zeros, using least number of digits and having digit sum = n. A61219

G.f. satisfies A(x) = ∏_n>=0 (1 + (x·A(x)³)^3ⁿ). A391525

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

G.f. A(x) satisfies A(x)³ = A( x·A(x)²*(1 + A(x))³ ). A391524

Bisection of A025487. A99993