λ
Ratio Atlas

6,990,333

3 × 7 × 332873
Deficient Odd Composite

6,990,333 factors as 3 × 7 × 332873. Its 8 positive divisors give a proper-divisor sum of 3,661,635, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 7 × 332873
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,651,968
Proper Divisor Sum 3,661,635
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6990331 ← → #6990337

Radix Representation

Decimal 6990333
Binary 11010101010100111111101 (23 bits)
Octal 0o32524775
Hexadecimal 0x6AA9FD

Divisor Catalog (8)

1 3 7 21 332,873 998,619 2,330,111 6,990,333

Collatz Trajectory (178 steps to reach 1)

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

6,990,333 20,971,000 10,485,500 5,242,750 2,621,375 7,864,126 3,932,063 11,796,190 5,898,095 17,694,286 8,847,143 26,541,430 13,270,715 39,812,146 19,906,073 59,718,220 29,859,110 14,929,555 44,788,666 22,394,333 67,183,000 33,591,500 16,795,750 8,397,875 25,193,626 12,596,813 37,790,440 18,895,220 9,447,610 4,723,805 14,171,416 7,085,708 3,542,854 1,771,427 5,314,282 2,657,141 7,971,424 3,985,712 1,992,856 996,428 498,214 249,107 747,322 373,661 1,120,984 560,492 280,246 140,123 420,370 210,185 630,556 315,278 157,639 472,918 236,459 709,378 354,689 1,064,068 532,034 266,017

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