9,509,283

3² × 7² × 21563

Starting at 9,509,283, the Collatz iteration reaches 1 after 176 steps. The first transition is 28527850; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 21563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 15,978,924

Proper Divisor Sum 6,469,641

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9509267 ← → #9509287

Radix Representation

Decimal	9509283
Binary	100100010001100110100011 (24 bits)
Octal	0o44214643
Hexadecimal	0x9119A3

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 21,563 64,689 150,941 194,067 452,823 1,056,587 1,358,469 3,169,761 9,509,283

Collatz Trajectory (176 steps to reach 1)

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

9,509,283 28,527,850 14,263,925 42,791,776 21,395,888 10,697,944 5,348,972 2,674,486 1,337,243 4,011,730 2,005,865 6,017,596 3,008,798 1,504,399 4,513,198 2,256,599 6,769,798 3,384,899 10,154,698 5,077,349 15,232,048 7,616,024 3,808,012 1,904,006 952,003 2,856,010 1,428,005 4,284,016 2,142,008 1,071,004 535,502 267,751 803,254 401,627 1,204,882 602,441 1,807,324 903,662 451,831 1,355,494 677,747 2,033,242 1,016,621 3,049,864 1,524,932 762,466 381,233 1,143,700 571,850 285,925 857,776 428,888 214,444 107,222 53,611 160,834 80,417 241,252 120,626 60,313

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