2,201,563

7 × 13² × 1861

2,201,563 factors as 7 × 13^2 × 1861. Its 12 positive divisors give a proper-divisor sum of 524,405, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 1861

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,725,968

Proper Divisor Sum 524,405

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2201543 ← → #2201581

Radix Representation

Decimal	2201563
Binary	1000011001011111011011 (22 bits)
Octal	0o10313733
Hexadecimal	0x2197DB

Divisor Catalog (12)

1 7 13 91 169 1,183 1,861 13,027 24,193 169,351 314,509 2,201,563

Collatz Trajectory (197 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,201,563 6,604,690 3,302,345 9,907,036 4,953,518 2,476,759 7,430,278 3,715,139 11,145,418 5,572,709 16,718,128 8,359,064 4,179,532 2,089,766 1,044,883 3,134,650 1,567,325 4,701,976 2,350,988 1,175,494 587,747 1,763,242 881,621 2,644,864 1,322,432 661,216 330,608 165,304 82,652 41,326 20,663 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738

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