1,332,318

2 × 3 × 13 × 19 × 29 × 31

Starting at 1,332,318, the Collatz iteration reaches 1 after 186 steps. The first transition is 666159; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 19 × 29 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,225,600

Proper Divisor Sum 1,893,282

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1332313 ← → #1332319

Radix Representation

Decimal	1332318
Binary	101000101010001011110 (21 bits)
Octal	0o5052136
Hexadecimal	0x14545E

Divisor Catalog (60 of 64)

1 2 3 6 13 19 26 29 31 38 39 57 58 62 78 87 93 114 174 186 247 377 403 494 551 589 741 754 806 899 1,102 1,131 1,178 1,209 1,482 1,653 1,767 1,798 2,262 2,418 2,697 3,306 3,534 5,394 7,163 7,657 11,687 14,326 15,314 17,081 21,489 22,971 23,374 34,162 35,061 42,978 45,942 51,243 70,122 102,486

Collatz Trajectory (186 steps to reach 1)

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

1,332,318 666,159 1,998,478 999,239 2,997,718 1,498,859 4,496,578 2,248,289 6,744,868 3,372,434 1,686,217 5,058,652 2,529,326 1,264,663 3,793,990 1,896,995 5,690,986 2,845,493 8,536,480 4,268,240 2,134,120 1,067,060 533,530 266,765 800,296 400,148 200,074 100,037 300,112 150,056 75,028 37,514 18,757 56,272 28,136 14,068 7,034 3,517 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

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