2,973,006

2 × 3² × 19 × 8693

Starting at 2,973,006, the Collatz iteration reaches 1 after 195 steps. The first transition is 1486503; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 8693

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,781,320

Proper Divisor Sum 3,808,314

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2973001 ← → #2973017

Radix Representation

Decimal	2973006
Binary	1011010101110101001110 (22 bits)
Octal	0o13256516
Hexadecimal	0x2D5D4E

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 8,693 17,386 26,079 52,158 78,237 156,474 165,167 330,334 495,501 991,002 1,486,503 2,973,006

Collatz Trajectory (195 steps to reach 1)

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

2,973,006 1,486,503 4,459,510 2,229,755 6,689,266 3,344,633 10,033,900 5,016,950 2,508,475 7,525,426 3,762,713 11,288,140 5,644,070 2,822,035 8,466,106 4,233,053 12,699,160 6,349,580 3,174,790 1,587,395 4,762,186 2,381,093 7,143,280 3,571,640 1,785,820 892,910 446,455 1,339,366 669,683 2,009,050 1,004,525 3,013,576 1,506,788 753,394 376,697 1,130,092 565,046 282,523 847,570 423,785 1,271,356 635,678 317,839 953,518 476,759 1,430,278 715,139 2,145,418 1,072,709 3,218,128 1,609,064 804,532 402,266 201,133 603,400 301,700 150,850 75,425 226,276 113,138

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