2,201,296

2⁴ × 17 × 8093

2,201,296 factors as 2^4 × 17 × 8093. Its 20 positive divisors give a proper-divisor sum of 2,315,156, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 8093

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,516,452

Proper Divisor Sum 2,315,156

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2201293 ← → #2201317

Radix Representation

Decimal	2201296
Binary	1000011001011011010000 (22 bits)
Octal	0o10313320
Hexadecimal	0x2196D0

Divisor Catalog (20)

Collatz Trajectory (148 steps to reach 1)

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

2,201,296 1,100,648 550,324 275,162 137,581 412,744 206,372 103,186 51,593 154,780 77,390 38,695 116,086 58,043 174,130 87,065 261,196 130,598 65,299 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966

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