Properties of the Number 10199

Ten Thousand One Hundred Ninety-Nine

Basics

Value: 10198 → 10199 → 10200

Parity: odd

Prime: No

Previous Prime: 10193

Next Prime: 10211

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 31 × 47

Divisors: 1, 7, 31, 47, 217, 329, 1457, 10199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111010111

Octal: 23727

Duodecimal: 5A9B

Hexadecimal: 27d7

Square: 104019601

Square Root: 100.99009852455833

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) = prime(n)*prime(n+1) - prime(n) - prime(n+1). A37165

T(n,k)=Number of idempotent n X n 0..k matrices of rank n-1. A224333

a(n) = prime(n)² - 2. A49001

Numbers whose base-6 representation is the juxtaposition of two identical strings. A20334

Squarefree n such that the elliptic curve n·y² = x³ - x arising in the "congruent number" problem has rank 3. A62693

Numbers n which are neither palindromes nor the sum of two palindromes, with property that the largest palindrome which when subtracted from n yields the sum of two palindromes is not the palindromic floor of n (A261423(n)), but rather the next palindrome below that. A261911

Numbers k > 1 such that k mod ord2(k) is even, where ord2(k) is the order of 2 mod k. A36260

Coefficients of polynomials S(n,x) related to Springer numbers. A98432

Smallest k<3·2ⁿ such that 3·2ⁿ+k is the smallest of four consecutive primes in arithmetic progression or 0 if no solution. A230852

a(n) gives the odd leg of one of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)². This is the smaller of the two possible odd legs. A253802