1,006,943

7 × 19 × 67 × 113

Starting at 1,006,943, the Collatz iteration reaches 1 after 183 steps. The first transition is 3020830; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 19 × 67 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,240,320

Proper Divisor Sum 233,377

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1006937 ← → #1006949

Radix Representation

Decimal	1006943
Binary	11110101110101011111 (20 bits)
Octal	0o3656537
Hexadecimal	0xF5D5F

Divisor Catalog (16)

1 7 19 67 113 133 469 791 1,273 2,147 7,571 8,911 15,029 52,997 143,849 1,006,943

Collatz Trajectory (183 steps to reach 1)

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

1,006,943 3,020,830 1,510,415 4,531,246 2,265,623 6,796,870 3,398,435 10,195,306 5,097,653 15,292,960 7,646,480 3,823,240 1,911,620 955,810 477,905 1,433,716 716,858 358,429 1,075,288 537,644 268,822 134,411 403,234 201,617 604,852 302,426 151,213 453,640 226,820 113,410 56,705 170,116 85,058 42,529 127,588 63,794 31,897 95,692 47,846 23,923 71,770 35,885 107,656 53,828 26,914 13,457 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389

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