1,833,147

3² × 149 × 1367

Starting at 1,833,147, the Collatz iteration reaches 1 after 109 steps. The first transition is 5499442; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 149 × 1367

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,667,600

Proper Divisor Sum 834,453

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1833137 ← → #1833157

Radix Representation

Decimal	1833147
Binary	110111111100010111011 (21 bits)
Octal	0o6774273
Hexadecimal	0x1BF8BB

Divisor Catalog (12)

1 3 9 149 447 1,341 1,367 4,101 12,303 203,683 611,049 1,833,147

Collatz Trajectory (109 steps to reach 1)

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

1,833,147 5,499,442 2,749,721 8,249,164 4,124,582 2,062,291 6,186,874 3,093,437 9,280,312 4,640,156 2,320,078 1,160,039 3,480,118 1,740,059 5,220,178 2,610,089 7,830,268 3,915,134 1,957,567 5,872,702 2,936,351 8,809,054 4,404,527 13,213,582 6,606,791 19,820,374 9,910,187 29,730,562 14,865,281 44,595,844 22,297,922 11,148,961 33,446,884 16,723,442 8,361,721 25,085,164 12,542,582 6,271,291 18,813,874 9,406,937 28,220,812 14,110,406 7,055,203 21,165,610 10,582,805 31,748,416 15,874,208 7,937,104 3,968,552 1,984,276 992,138 496,069 1,488,208 744,104 372,052 186,026 93,013 279,040 139,520 69,760

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