7,197,816

2³ × 3 × 299909

7,197,816 factors as 2^3 × 3 × 299909. Its 16 positive divisors give a proper-divisor sum of 10,796,784, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 299909

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,994,600

Proper Divisor Sum 10,796,784

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7197809 ← → #7197833

Radix Representation

Decimal	7197816
Binary	11011011101010001111000 (23 bits)
Octal	0o33352170
Hexadecimal	0x6DD478

Divisor Catalog (16)

1 2 3 4 6 8 12 24 299,909 599,818 899,727 1,199,636 1,799,454 2,399,272 3,598,908 7,197,816

Collatz Trajectory (90 steps to reach 1)

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

7,197,816 3,598,908 1,799,454 899,727 2,699,182 1,349,591 4,048,774 2,024,387 6,073,162 3,036,581 9,109,744 4,554,872 2,277,436 1,138,718 569,359 1,708,078 854,039 2,562,118 1,281,059 3,843,178 1,921,589 5,764,768 2,882,384 1,441,192 720,596 360,298 180,149 540,448 270,224 135,112 67,556 33,778 16,889 50,668 25,334 12,667 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664

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