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Atlas › Integer Profiles › Node 6,942,166

6,942,166

2 × 7 × 11 × 61 × 739
Deficient Even Composite

6,942,166 factors as 2 × 7 × 11 × 61 × 739. Its 32 positive divisors give a proper-divisor sum of 6,271,274, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 61 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,213,440
Proper Divisor Sum 6,271,274
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6942149 ← → #6942179

Radix Representation

Decimal 6942166
Binary 11010011110110111010110 (23 bits)
Octal 0o32366726
Hexadecimal 0x69EDD6

Divisor Catalog (32)

1 2 7 11 14 22 61 77 122 154 427 671 739 854 1,342 1,478 4,697 5,173 8,129 9,394 10,346 16,258 45,079 56,903 90,158 113,806 315,553 495,869 631,106 991,738 3,471,083 6,942,166

Collatz Trajectory (253 steps to reach 1)

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

6,942,166 3,471,083 10,413,250 5,206,625 15,619,876 7,809,938 3,904,969 11,714,908 5,857,454 2,928,727 8,786,182 4,393,091 13,179,274 6,589,637 19,768,912 9,884,456 4,942,228 2,471,114 1,235,557 3,706,672 1,853,336 926,668 463,334 231,667 695,002 347,501 1,042,504 521,252 260,626 130,313 390,940 195,470 97,735 293,206 146,603 439,810 219,905 659,716 329,858 164,929 494,788 247,394 123,697 371,092 185,546 92,773 278,320 139,160 69,580 34,790 17,395 52,186 26,093 78,280 39,140 19,570 9,785 29,356 14,678 7,339

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