9,054,313

67² × 2017

Starting at 9,054,313, the Collatz iteration reaches 1 after 163 steps. The first transition is 27162940; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 67^2 × 2017

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,196,026

Proper Divisor Sum 141,713

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9054281 ← → #9054329

Radix Representation

Decimal	9054313
Binary	100010100010100001101001 (24 bits)
Octal	0o42424151
Hexadecimal	0x8A2869

Divisor Catalog (6)

1 67 2,017 4,489 135,139 9,054,313

Collatz Trajectory (163 steps to reach 1)

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

9,054,313 27,162,940 13,581,470 6,790,735 20,372,206 10,186,103 30,558,310 15,279,155 45,837,466 22,918,733 68,756,200 34,378,100 17,189,050 8,594,525 25,783,576 12,891,788 6,445,894 3,222,947 9,668,842 4,834,421 14,503,264 7,251,632 3,625,816 1,812,908 906,454 453,227 1,359,682 679,841 2,039,524 1,019,762 509,881 1,529,644 764,822 382,411 1,147,234 573,617 1,720,852 860,426 430,213 1,290,640 645,320 322,660 161,330 80,665 241,996 120,998 60,499 181,498 90,749 272,248 136,124 68,062 34,031 102,094 51,047 153,142 76,571 229,714 114,857 344,572

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