1,114,233

3 × 31 × 11981

Starting at 1,114,233, the Collatz iteration reaches 1 after 116 steps. The first transition is 3342700; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 11981

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,533,696

Proper Divisor Sum 419,463

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1114213 ← → #1114241

Radix Representation

Decimal	1114233
Binary	100010000000001111001 (21 bits)
Octal	0o4200171
Hexadecimal	0x110079

Divisor Catalog (8)

1 3 31 93 11,981 35,943 371,411 1,114,233

Collatz Trajectory (116 steps to reach 1)

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

1,114,233 3,342,700 1,671,350 835,675 2,507,026 1,253,513 3,760,540 1,880,270 940,135 2,820,406 1,410,203 4,230,610 2,115,305 6,345,916 3,172,958 1,586,479 4,759,438 2,379,719 7,139,158 3,569,579 10,708,738 5,354,369 16,063,108 8,031,554 4,015,777 12,047,332 6,023,666 3,011,833 9,035,500 4,517,750 2,258,875 6,776,626 3,388,313 10,164,940 5,082,470 2,541,235 7,623,706 3,811,853 11,435,560 5,717,780 2,858,890 1,429,445 4,288,336 2,144,168 1,072,084 536,042 268,021 804,064 402,032 201,016 100,508 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403

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