8,264,945

5 × 13² × 9781

Starting at 8,264,945, the Collatz iteration reaches 1 after 168 steps. The first transition is 24794836; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 13^2 × 9781

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,740,636

Proper Divisor Sum 2,475,691

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8264939 ← → #8264953

Radix Representation

Decimal	8264945
Binary	11111100001110011110001 (23 bits)
Octal	0o37416361
Hexadecimal	0x7E1CF1

Divisor Catalog (12)

1 5 13 65 169 845 9,781 48,905 127,153 635,765 1,652,989 8,264,945

Collatz Trajectory (168 steps to reach 1)

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

8,264,945 24,794,836 12,397,418 6,198,709 18,596,128 9,298,064 4,649,032 2,324,516 1,162,258 581,129 1,743,388 871,694 435,847 1,307,542 653,771 1,961,314 980,657 2,941,972 1,470,986 735,493 2,206,480 1,103,240 551,620 275,810 137,905 413,716 206,858 103,429 310,288 155,144 77,572 38,786 19,393 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741

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