2,982,004

2² × 17 × 43853

2,982,004 factors as 2^2 × 17 × 43853. Its 12 positive divisors give a proper-divisor sum of 2,543,600, so this integer is deficient. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 43853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,525,604

Proper Divisor Sum 2,543,600

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2981999 ← → #2982011

Radix Representation

Decimal	2982004
Binary	1011011000000001110100 (22 bits)
Octal	0o13300164
Hexadecimal	0x2D8074

Divisor Catalog (12)

1 2 4 17 34 68 43,853 87,706 175,412 745,501 1,491,002 2,982,004

Collatz Trajectory (63 steps to reach 1)

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

2,982,004 1,491,002 745,501 2,236,504 1,118,252 559,126 279,563 838,690 419,345 1,258,036 629,018 314,509 943,528 471,764 235,882 117,941 353,824 176,912 88,456 44,228 22,114 11,057 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16

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