6,972,746

2 × 11² × 28813

6,972,746 factors as 2 × 11^2 × 28813. Its 12 positive divisors give a proper-divisor sum of 4,524,040, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 28813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,496,786

Proper Divisor Sum 4,524,040

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6972743 ← → #6972767

Radix Representation

Decimal	6972746
Binary	11010100110010101001010 (23 bits)
Octal	0o32462512
Hexadecimal	0x6A654A

Divisor Catalog (12)

1 2 11 22 121 242 28,813 57,626 316,943 633,886 3,486,373 6,972,746

Collatz Trajectory (160 steps to reach 1)

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

6,972,746 3,486,373 10,459,120 5,229,560 2,614,780 1,307,390 653,695 1,961,086 980,543 2,941,630 1,470,815 4,412,446 2,206,223 6,618,670 3,309,335 9,928,006 4,964,003 14,892,010 7,446,005 22,338,016 11,169,008 5,584,504 2,792,252 1,396,126 698,063 2,094,190 1,047,095 3,141,286 1,570,643 4,711,930 2,355,965 7,067,896 3,533,948 1,766,974 883,487 2,650,462 1,325,231 3,975,694 1,987,847 5,963,542 2,981,771 8,945,314 4,472,657 13,417,972 6,708,986 3,354,493 10,063,480 5,031,740 2,515,870 1,257,935 3,773,806 1,886,903 5,660,710 2,830,355 8,491,066 4,245,533 12,736,600 6,368,300 3,184,150 1,592,075

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