7,987,305

3 × 5 × 31 × 89 × 193

Starting at 7,987,305, the Collatz iteration reaches 1 after 199 steps. The first transition is 23961916; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 89 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,409,280

Proper Divisor Sum 5,421,975

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7987289 ← → #7987307

Radix Representation

Decimal	7987305
Binary	11110011110000001101001 (23 bits)
Octal	0o36360151
Hexadecimal	0x79E069

Divisor Catalog (32)

1 3 5 15 31 89 93 155 193 267 445 465 579 965 1,335 2,759 2,895 5,983 8,277 13,795 17,177 17,949 29,915 41,385 51,531 85,885 89,745 257,655 532,487 1,597,461 2,662,435 7,987,305

Collatz Trajectory (199 steps to reach 1)

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

7,987,305 23,961,916 11,980,958 5,990,479 17,971,438 8,985,719 26,957,158 13,478,579 40,435,738 20,217,869 60,653,608 30,326,804 15,163,402 7,581,701 22,745,104 11,372,552 5,686,276 2,843,138 1,421,569 4,264,708 2,132,354 1,066,177 3,198,532 1,599,266 799,633 2,398,900 1,199,450 599,725 1,799,176 899,588 449,794 224,897 674,692 337,346 168,673 506,020 253,010 126,505 379,516 189,758 94,879 284,638 142,319 426,958 213,479 640,438 320,219 960,658 480,329 1,440,988 720,494 360,247 1,080,742 540,371 1,621,114 810,557 2,431,672 1,215,836 607,918 303,959

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