6,162,002

2 × 7 × 11 × 40013

6,162,002 factors as 2 × 7 × 11 × 40013. Its 16 positive divisors give a proper-divisor sum of 5,362,030, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 40013

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,524,032

Proper Divisor Sum 5,362,030

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #6162001 ← → #6162043

Radix Representation

Decimal	6162002
Binary	10111100000011001010010 (23 bits)
Octal	0o27403122
Hexadecimal	0x5E0652

Divisor Catalog (16)

1 2 7 11 14 22 77 154 40,013 80,026 280,091 440,143 560,182 880,286 3,081,001 6,162,002

Collatz Trajectory (77 steps to reach 1)

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

6,162,002 3,081,001 9,243,004 4,621,502 2,310,751 6,932,254 3,466,127 10,398,382 5,199,191 15,597,574 7,798,787 23,396,362 11,698,181 35,094,544 17,547,272 8,773,636 4,386,818 2,193,409 6,580,228 3,290,114 1,645,057 4,935,172 2,467,586 1,233,793 3,701,380 1,850,690 925,345 2,776,036 1,388,018 694,009 2,082,028 1,041,014 520,507 1,561,522 780,761 2,342,284 1,171,142 585,571 1,756,714 878,357 2,635,072 1,317,536 658,768 329,384 164,692 82,346 41,173 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181

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