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Atlas › Integer Profiles › Node 6,990,111

6,990,111

33 × 17 × 97 × 157
Deficient Odd Composite

6,990,111 factors as 3^3 × 17 × 97 × 157. Its 32 positive divisors give a proper-divisor sum of 4,158,369, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 97 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,148,480
Proper Divisor Sum 4,158,369
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6990107 ← → #6990161

Radix Representation

Decimal 6990111
Binary 11010101010100100011111 (23 bits)
Octal 0o32524437
Hexadecimal 0x6AA91F

Divisor Catalog (32)

1 3 9 17 27 51 97 153 157 291 459 471 873 1,413 1,649 2,619 2,669 4,239 4,947 8,007 14,841 15,229 24,021 44,523 45,687 72,063 137,061 258,893 411,183 776,679 2,330,037 6,990,111

Collatz Trajectory (178 steps to reach 1)

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

6,990,111 20,970,334 10,485,167 31,455,502 15,727,751 47,183,254 23,591,627 70,774,882 35,387,441 106,162,324 53,081,162 26,540,581 79,621,744 39,810,872 19,905,436 9,952,718 4,976,359 14,929,078 7,464,539 22,393,618 11,196,809 33,590,428 16,795,214 8,397,607 25,192,822 12,596,411 37,789,234 18,894,617 56,683,852 28,341,926 14,170,963 42,512,890 21,256,445 63,769,336 31,884,668 15,942,334 7,971,167 23,913,502 11,956,751 35,870,254 17,935,127 53,805,382 26,902,691 80,708,074 40,354,037 121,062,112 60,531,056 30,265,528 15,132,764 7,566,382 3,783,191 11,349,574 5,674,787 17,024,362 8,512,181 25,536,544 12,768,272 6,384,136 3,192,068 1,596,034

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