λ
Ratio Atlas

6,970,026

2 × 3 × 7 × 263 × 631
Abundant Even Composite

6,970,026 factors as 2 × 3 × 7 × 263 × 631. Its 32 positive divisors give a proper-divisor sum of 9,047,382, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 263 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,017,408
Proper Divisor Sum 9,047,382
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6970013 ← → #6970037

Radix Representation

Decimal 6970026
Binary 11010100101101010101010 (23 bits)
Octal 0o32455252
Hexadecimal 0x6A5AAA

Divisor Catalog (32)

1 2 3 6 7 14 21 42 263 526 631 789 1,262 1,578 1,841 1,893 3,682 3,786 4,417 5,523 8,834 11,046 13,251 26,502 165,953 331,906 497,859 995,718 1,161,671 2,323,342 3,485,013 6,970,026

Collatz Trajectory (72 steps to reach 1)

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

6,970,026 3,485,013 10,455,040 5,227,520 2,613,760 1,306,880 653,440 326,720 163,360 81,680 40,840 20,420 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

More profiles

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