6,772,093

41 × 165173

6,772,093 factors as 41 × 165173. Its 4 positive divisors give a proper-divisor sum of 165,215, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 41 × 165173

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,937,308

Proper Divisor Sum 165,215

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6772081 ← → #6772121

Radix Representation

Decimal	6772093
Binary	11001110101010101111101 (23 bits)
Octal	0o31652575
Hexadecimal	0x67557D

Divisor Catalog (4)

1 41 165,173 6,772,093

Collatz Trajectory (160 steps to reach 1)

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

6,772,093 20,316,280 10,158,140 5,079,070 2,539,535 7,618,606 3,809,303 11,427,910 5,713,955 17,141,866 8,570,933 25,712,800 12,856,400 6,428,200 3,214,100 1,607,050 803,525 2,410,576 1,205,288 602,644 301,322 150,661 451,984 225,992 112,996 56,498 28,249 84,748 42,374 21,187 63,562 31,781 95,344 47,672 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162

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