1,233,567

3² × 41 × 3343

1,233,567 has the prime decomposition 3^2 × 41 × 3343. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 41 × 3343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,825,824

Proper Divisor Sum 592,257

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1233563 ← → #1233569

Radix Representation

Decimal	1233567
Binary	100101101001010011111 (21 bits)
Octal	0o4551237
Hexadecimal	0x12D29F

Divisor Catalog (12)

1 3 9 41 123 369 3,343 10,029 30,087 137,063 411,189 1,233,567

Collatz Trajectory (142 steps to reach 1)

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

1,233,567 3,700,702 1,850,351 5,551,054 2,775,527 8,326,582 4,163,291 12,489,874 6,244,937 18,734,812 9,367,406 4,683,703 14,051,110 7,025,555 21,076,666 10,538,333 31,615,000 15,807,500 7,903,750 3,951,875 11,855,626 5,927,813 17,783,440 8,891,720 4,445,860 2,222,930 1,111,465 3,334,396 1,667,198 833,599 2,500,798 1,250,399 3,751,198 1,875,599 5,626,798 2,813,399 8,440,198 4,220,099 12,660,298 6,330,149 18,990,448 9,495,224 4,747,612 2,373,806 1,186,903 3,560,710 1,780,355 5,341,066 2,670,533 8,011,600 4,005,800 2,002,900 1,001,450 500,725 1,502,176 751,088 375,544 187,772 93,886 46,943

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