7,926,488

2³ × 17 × 167 × 349

Starting at 7,926,488, the Collatz iteration reaches 1 after 217 steps. The first transition is 3963244; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 167 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,876,000

Proper Divisor Sum 7,949,512

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7926487 ← → #7926493

Radix Representation

Decimal	7926488
Binary	11110001111001011011000 (23 bits)
Octal	0o36171330
Hexadecimal	0x78F2D8

Divisor Catalog (32)

1 2 4 8 17 34 68 136 167 334 349 668 698 1,336 1,396 2,792 2,839 5,678 5,933 11,356 11,866 22,712 23,732 47,464 58,283 116,566 233,132 466,264 990,811 1,981,622 3,963,244 7,926,488

Collatz Trajectory (217 steps to reach 1)

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

7,926,488 3,963,244 1,981,622 990,811 2,972,434 1,486,217 4,458,652 2,229,326 1,114,663 3,343,990 1,671,995 5,015,986 2,507,993 7,523,980 3,761,990 1,880,995 5,642,986 2,821,493 8,464,480 4,232,240 2,116,120 1,058,060 529,030 264,515 793,546 396,773 1,190,320 595,160 297,580 148,790 74,395 223,186 111,593 334,780 167,390 83,695 251,086 125,543 376,630 188,315 564,946 282,473 847,420 423,710 211,855 635,566 317,783 953,350 476,675 1,430,026 715,013 2,145,040 1,072,520 536,260 268,130 134,065 402,196 201,098 100,549 301,648

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