Properties of the Number 10097

Ten Thousand Ninety-Seven

Basics

Value: 10096 → 10097 → 10098

Parity: odd

Prime: No

Previous Prime: 10093

Next Prime: 10099

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 23 × 439

Divisors: 1, 23, 439, 10097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101110001

Octal: 23561

Duodecimal: 5A15

Hexadecimal: 2771

Square: 101949409

Square Root: 100.48382954485761

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 T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2·j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 8, read by rows. A153653

Number of integer partitions of n whose parts cannot be arranged into a (not necessarily square) matrix with equal row-sums and equal column-sums. A323348

Generalized Markoff numbers: largest of 7-tuple of positive numbers a, b, c, d, e, f, g satisfying the Markoff(7) equation a²+b²+c²+d²+e²+f²+g² = 3abcdefg. A227211

a(0) = 1; a(n) = ∑_{k=0..floor((n-1)/2)} 4^k * a(k) * a(n-2·k-1). A352008

Numbers k such that k and k² use only the digits 0, 1, 4, 7 and 9. A136865

Ramanujan numbers (A000594) read mod 23³. A126847

a(n+1) is the smallest integer > a(n) such that the concatenation of [a(n+1)-a(n)] and a(n+1) is a prime number. A173699

Number of -n..n arrays x(0..5) of 6 elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern). A200184

Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime). A213319

a(n) is the first position where the digits of n occur simultaneously in the decimal expansions of π and e. A381980