8,266,775

5² × 11 × 23 × 1307

Starting at 8,266,775, the Collatz iteration reaches 1 after 93 steps. The first transition is 24800326; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 23 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,677,824

Proper Divisor Sum 3,411,049

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8266759 ← → #8266807

Radix Representation

Decimal	8266775
Binary	11111100010010000010111 (23 bits)
Octal	0o37422027
Hexadecimal	0x7E2417

Divisor Catalog (24)

1 5 11 23 25 55 115 253 275 575 1,265 1,307 6,325 6,535 14,377 30,061 32,675 71,885 150,305 330,671 359,425 751,525 1,653,355 8,266,775

Collatz Trajectory (93 steps to reach 1)

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

8,266,775 24,800,326 12,400,163 37,200,490 18,600,245 55,800,736 27,900,368 13,950,184 6,975,092 3,487,546 1,743,773 5,231,320 2,615,660 1,307,830 653,915 1,961,746 980,873 2,942,620 1,471,310 735,655 2,206,966 1,103,483 3,310,450 1,655,225 4,965,676 2,482,838 1,241,419 3,724,258 1,862,129 5,586,388 2,793,194 1,396,597 4,189,792 2,094,896 1,047,448 523,724 261,862 130,931 392,794 196,397 589,192 294,596 147,298 73,649 220,948 110,474 55,237 165,712 82,856 41,428 20,714 10,357 31,072 15,536 7,768 3,884 1,942 971 2,914 1,457

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