7,659,350

2 × 5² × 17 × 9011

Starting at 7,659,350, the Collatz iteration reaches 1 after 173 steps. The first transition is 3829675; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 9011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,086,088

Proper Divisor Sum 7,426,738

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7659347 ← → #7659361

Radix Representation

Decimal	7659350
Binary	11101001101111101010110 (23 bits)
Octal	0o35157526
Hexadecimal	0x74DF56

Divisor Catalog (24)

1 2 5 10 17 25 34 50 85 170 425 850 9,011 18,022 45,055 90,110 153,187 225,275 306,374 450,550 765,935 1,531,870 3,829,675 7,659,350

Collatz Trajectory (173 steps to reach 1)

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

7,659,350 3,829,675 11,489,026 5,744,513 17,233,540 8,616,770 4,308,385 12,925,156 6,462,578 3,231,289 9,693,868 4,846,934 2,423,467 7,270,402 3,635,201 10,905,604 5,452,802 2,726,401 8,179,204 4,089,602 2,044,801 6,134,404 3,067,202 1,533,601 4,600,804 2,300,402 1,150,201 3,450,604 1,725,302 862,651 2,587,954 1,293,977 3,881,932 1,940,966 970,483 2,911,450 1,455,725 4,367,176 2,183,588 1,091,794 545,897 1,637,692 818,846 409,423 1,228,270 614,135 1,842,406 921,203 2,763,610 1,381,805 4,145,416 2,072,708 1,036,354 518,177 1,554,532 777,266 388,633 1,165,900 582,950 291,475

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