2,585,294

2 × 389 × 3323

Starting at 2,585,294, the Collatz iteration reaches 1 after 205 steps. The first transition is 1292647; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 389 × 3323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,889,080

Proper Divisor Sum 1,303,786

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2585293 ← → #2585333

Radix Representation

Decimal	2585294
Binary	1001110111001011001110 (22 bits)
Octal	0o11671316
Hexadecimal	0x2772CE

Divisor Catalog (8)

1 2 389 778 3,323 6,646 1,292,647 2,585,294

Collatz Trajectory (205 steps to reach 1)

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

2,585,294 1,292,647 3,877,942 1,938,971 5,816,914 2,908,457 8,725,372 4,362,686 2,181,343 6,544,030 3,272,015 9,816,046 4,908,023 14,724,070 7,362,035 22,086,106 11,043,053 33,129,160 16,564,580 8,282,290 4,141,145 12,423,436 6,211,718 3,105,859 9,317,578 4,658,789 13,976,368 6,988,184 3,494,092 1,747,046 873,523 2,620,570 1,310,285 3,930,856 1,965,428 982,714 491,357 1,474,072 737,036 368,518 184,259 552,778 276,389 829,168 414,584 207,292 103,646 51,823 155,470 77,735 233,206 116,603 349,810 174,905 524,716 262,358 131,179 393,538 196,769 590,308

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