7,171,724

2² × 7 × 256133

7,171,724 factors as 2^2 × 7 × 256133. Its 12 positive divisors give a proper-divisor sum of 7,171,780, so this integer is abundant. The Collatz stopping time is 41 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 256133

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,343,504

Proper Divisor Sum 7,171,780

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7171711 ← → #7171741

Radix Representation

Decimal	7171724
Binary	11011010110111010001100 (23 bits)
Octal	0o33267214
Hexadecimal	0x6D6E8C

Divisor Catalog (12)

1 2 4 7 14 28 256,133 512,266 1,024,532 1,792,931 3,585,862 7,171,724

Collatz Trajectory (41 steps to reach 1)

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

7,171,724 3,585,862 1,792,931 5,378,794 2,689,397 8,068,192 4,034,096 2,017,048 1,008,524 504,262 252,131 756,394 378,197 1,134,592 567,296 283,648 141,824 70,912 35,456 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

1,584,173 8,398,549 5,913,214 8,777,931 4,711,609 1,742,178 7,638,553 3,568,482 7,238,926 214,424 2,034,223 3,775,791 6,329,989 1,999,405 192,733 6,904,861

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