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Atlas › Integer Profiles › Node 6,884,392

6,884,392

23 × 41 × 139 × 151
Deficient Even Composite

6,884,392 factors as 2^3 × 41 × 139 × 151. Its 32 positive divisors give a proper-divisor sum of 6,522,008, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 139 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,406,400
Proper Divisor Sum 6,522,008
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6884389 ← → #6884393

Radix Representation

Decimal 6884392
Binary 11010010000110000101000 (23 bits)
Octal 0o32206050
Hexadecimal 0x690C28

Divisor Catalog (32)

1 2 4 8 41 82 139 151 164 278 302 328 556 604 1,112 1,208 5,699 6,191 11,398 12,382 20,989 22,796 24,764 41,978 45,592 49,528 83,956 167,912 860,549 1,721,098 3,442,196 6,884,392

Collatz Trajectory (191 steps to reach 1)

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

6,884,392 3,442,196 1,721,098 860,549 2,581,648 1,290,824 645,412 322,706 161,353 484,060 242,030 121,015 363,046 181,523 544,570 272,285 816,856 408,428 204,214 102,107 306,322 153,161 459,484 229,742 114,871 344,614 172,307 516,922 258,461 775,384 387,692 193,846 96,923 290,770 145,385 436,156 218,078 109,039 327,118 163,559 490,678 245,339 736,018 368,009 1,104,028 552,014 276,007 828,022 414,011 1,242,034 621,017 1,863,052 931,526 465,763 1,397,290 698,645 2,095,936 1,047,968 523,984 261,992

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