2,913,006

2 × 3 × 293 × 1657

2,913,006 factors as 2 × 3 × 293 × 1657. Its 16 positive divisors give a proper-divisor sum of 2,936,418, so this integer is abundant. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 2 × 3 × 293 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,849,424

Proper Divisor Sum 2,936,418

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2912989 ← → #2913011

Radix Representation

Decimal	2913006
Binary	1011000111001011101110 (22 bits)
Octal	0o13071356
Hexadecimal	0x2C72EE

Divisor Catalog (16)

1 2 3 6 293 586 879 1,657 1,758 3,314 4,971 9,942 485,501 971,002 1,456,503 2,913,006

Collatz Trajectory (288 steps to reach 1)

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

2,913,006 1,456,503 4,369,510 2,184,755 6,554,266 3,277,133 9,831,400 4,915,700 2,457,850 1,228,925 3,686,776 1,843,388 921,694 460,847 1,382,542 691,271 2,073,814 1,036,907 3,110,722 1,555,361 4,666,084 2,333,042 1,166,521 3,499,564 1,749,782 874,891 2,624,674 1,312,337 3,937,012 1,968,506 984,253 2,952,760 1,476,380 738,190 369,095 1,107,286 553,643 1,660,930 830,465 2,491,396 1,245,698 622,849 1,868,548 934,274 467,137 1,401,412 700,706 350,353 1,051,060 525,530 262,765 788,296 394,148 197,074 98,537 295,612 147,806 73,903 221,710 110,855

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