9,506,852

2² × 569 × 4177

Starting at 9,506,852, the Collatz iteration reaches 1 after 75 steps. The first transition is 4753426; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 569 × 4177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,670,220

Proper Divisor Sum 7,163,368

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9506837 ← → #9506857

Radix Representation

Decimal	9506852
Binary	100100010001000000100100 (24 bits)
Octal	0o44210044
Hexadecimal	0x911024

Divisor Catalog (12)

1 2 4 569 1,138 2,276 4,177 8,354 16,708 2,376,713 4,753,426 9,506,852

Collatz Trajectory (75 steps to reach 1)

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

9,506,852 4,753,426 2,376,713 7,130,140 3,565,070 1,782,535 5,347,606 2,673,803 8,021,410 4,010,705 12,032,116 6,016,058 3,008,029 9,024,088 4,512,044 2,256,022 1,128,011 3,384,034 1,692,017 5,076,052 2,538,026 1,269,013 3,807,040 1,903,520 951,760 475,880 237,940 118,970 59,485 178,456 89,228 44,614 22,307 66,922 33,461 100,384 50,192 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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