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Properties of the Number 12193

Twelve Thousand One Hundred Ninety-Three

Basics

Value: 12192 → 12193 → 12194

Parity: odd

Prime: No

Previous Prime: 12163

Next Prime: 12197

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 89 × 137

Divisors: 1, 89, 137, 12193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111110100001

Octal: 27641

Duodecimal: 7081

Hexadecimal: 2fa1

Square: 148669249

Square Root: 110.42191811411355

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

Number of integer partitions of n that cannot be partitioned into two or more blocks with equal sums. A321451
Number of compositions (ordered partitions) of n into distinct parts such that number of parts is odd. A332304
The 60-degree spoke (or ray) of a hexagonal spiral of Ulam. A244802
a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-4), a(0)=0, a(1)=1, a(2)=-1, a(3)=0. A100329
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑j>=1 sigmak(j) * xj). A294296
a(n) = A005117(A390138(n) + 1). A390241
Triangle read by rows: T(n,k) = 2·A011971(n,k) - 1. A136791
Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| + |y-w| < w+x+y. A213488
L(p) modulo p2, where p = prime(n) and L is a Lucas number (A000032). A268478
a(n) = n! * [xn] exp(∑k=1..n sigman(k) * xk). A294388