1,362,686

2 × 13 × 17 × 3083

Starting at 1,362,686, the Collatz iteration reaches 1 after 155 steps. The first transition is 681343; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 3083

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,331,504

Proper Divisor Sum 968,818

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1362653 ← → #1362689

Radix Representation

Decimal	1362686
Binary	101001100101011111110 (21 bits)
Octal	0o5145376
Hexadecimal	0x14CAFE

Divisor Catalog (16)

1 2 13 17 26 34 221 442 3,083 6,166 40,079 52,411 80,158 104,822 681,343 1,362,686

Collatz Trajectory (155 steps to reach 1)

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

1,362,686 681,343 2,044,030 1,022,015 3,066,046 1,533,023 4,599,070 2,299,535 6,898,606 3,449,303 10,347,910 5,173,955 15,521,866 7,760,933 23,282,800 11,641,400 5,820,700 2,910,350 1,455,175 4,365,526 2,182,763 6,548,290 3,274,145 9,822,436 4,911,218 2,455,609 7,366,828 3,683,414 1,841,707 5,525,122 2,762,561 8,287,684 4,143,842 2,071,921 6,215,764 3,107,882 1,553,941 4,661,824 2,330,912 1,165,456 582,728 291,364 145,682 72,841 218,524 109,262 54,631 163,894 81,947 245,842 122,921 368,764 184,382 92,191 276,574 138,287 414,862 207,431 622,294 311,147

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