1,982,972

2² × 73 × 6791

1,982,972 factors as 2^2 × 73 × 6791. Its 12 positive divisors give a proper-divisor sum of 1,535,284, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 6791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,518,256

Proper Divisor Sum 1,535,284

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1982969 ← → #1982987

Radix Representation

Decimal	1982972
Binary	111100100000111111100 (21 bits)
Octal	0o7440774
Hexadecimal	0x1E41FC

Divisor Catalog (12)

1 2 4 73 146 292 6,791 13,582 27,164 495,743 991,486 1,982,972

Collatz Trajectory (96 steps to reach 1)

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

1,982,972 991,486 495,743 1,487,230 743,615 2,230,846 1,115,423 3,346,270 1,673,135 5,019,406 2,509,703 7,529,110 3,764,555 11,293,666 5,646,833 16,940,500 8,470,250 4,235,125 12,705,376 6,352,688 3,176,344 1,588,172 794,086 397,043 1,191,130 595,565 1,786,696 893,348 446,674 223,337 670,012 335,006 167,503 502,510 251,255 753,766 376,883 1,130,650 565,325 1,695,976 847,988 423,994 211,997 635,992 317,996 158,998 79,499 238,498 119,249 357,748 178,874 89,437 268,312 134,156 67,078 33,539 100,618 50,309 150,928 75,464

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