6,909,333

3 × 131 × 17581

Starting at 6,909,333, the Collatz iteration reaches 1 after 222 steps. The first transition is 20728000; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 131 × 17581

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,283,296

Proper Divisor Sum 2,373,963

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6909323 ← → #6909341

Radix Representation

Decimal	6909333
Binary	11010010110110110010101 (23 bits)
Octal	0o32266625
Hexadecimal	0x696D95

Divisor Catalog (8)

1 3 131 393 17,581 52,743 2,303,111 6,909,333

Collatz Trajectory (222 steps to reach 1)

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

6,909,333 20,728,000 10,364,000 5,182,000 2,591,000 1,295,500 647,750 323,875 971,626 485,813 1,457,440 728,720 364,360 182,180 91,090 45,545 136,636 68,318 34,159 102,478 51,239 153,718 76,859 230,578 115,289 345,868 172,934 86,467 259,402 129,701 389,104 194,552 97,276 48,638 24,319 72,958 36,479 109,438 54,719 164,158 82,079 246,238 123,119 369,358 184,679 554,038 277,019 831,058 415,529 1,246,588 623,294 311,647 934,942 467,471 1,402,414 701,207 2,103,622 1,051,811 3,155,434 1,577,717

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