λ
Ratio Atlas

7,151,346

2 × 32 × 397297
Abundant Even Composite

7,151,346 factors as 2 × 3^2 × 397297. Its 12 positive divisors give a proper-divisor sum of 8,343,276, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 397297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,494,622
Proper Divisor Sum 8,343,276
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7151341 ← → #7151357

Radix Representation

Decimal 7151346
Binary 11011010001111011110010 (23 bits)
Octal 0o33217362
Hexadecimal 0x6D1EF2

Divisor Catalog (12)

1 2 3 6 9 18 397,297 794,594 1,191,891 2,383,782 3,575,673 7,151,346

Collatz Trajectory (235 steps to reach 1)

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

7,151,346 3,575,673 10,727,020 5,363,510 2,681,755 8,045,266 4,022,633 12,067,900 6,033,950 3,016,975 9,050,926 4,525,463 13,576,390 6,788,195 20,364,586 10,182,293 30,546,880 15,273,440 7,636,720 3,818,360 1,909,180 954,590 477,295 1,431,886 715,943 2,147,830 1,073,915 3,221,746 1,610,873 4,832,620 2,416,310 1,208,155 3,624,466 1,812,233 5,436,700 2,718,350 1,359,175 4,077,526 2,038,763 6,116,290 3,058,145 9,174,436 4,587,218 2,293,609 6,880,828 3,440,414 1,720,207 5,160,622 2,580,311 7,740,934 3,870,467 11,611,402 5,805,701 17,417,104 8,708,552 4,354,276 2,177,138 1,088,569 3,265,708 1,632,854

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