2,018,667

3 × 7 × 97 × 991

2,018,667 factors as 3 × 7 × 97 × 991. Its 16 positive divisors give a proper-divisor sum of 1,092,245, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 3 × 7 × 97 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,110,912

Proper Divisor Sum 1,092,245

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2018663 ← → #2018671

Radix Representation

Decimal	2018667
Binary	111101100110101101011 (21 bits)
Octal	0o7546553
Hexadecimal	0x1ECD6B

Divisor Catalog (16)

1 3 7 21 97 291 679 991 2,037 2,973 6,937 20,811 96,127 288,381 672,889 2,018,667

Collatz Trajectory (246 steps to reach 1)

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

2,018,667 6,056,002 3,028,001 9,084,004 4,542,002 2,271,001 6,813,004 3,406,502 1,703,251 5,109,754 2,554,877 7,664,632 3,832,316 1,916,158 958,079 2,874,238 1,437,119 4,311,358 2,155,679 6,467,038 3,233,519 9,700,558 4,850,279 14,550,838 7,275,419 21,826,258 10,913,129 32,739,388 16,369,694 8,184,847 24,554,542 12,277,271 36,831,814 18,415,907 55,247,722 27,623,861 82,871,584 41,435,792 20,717,896 10,358,948 5,179,474 2,589,737 7,769,212 3,884,606 1,942,303 5,826,910 2,913,455 8,740,366 4,370,183 13,110,550 6,555,275 19,665,826 9,832,913 29,498,740 14,749,370 7,374,685 22,124,056 11,062,028 5,531,014 2,765,507

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