2,034,390

2 × 3 × 5 × 17 × 3989

Starting at 2,034,390, the Collatz iteration reaches 1 after 109 steps. The first transition is 1017195; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 3989

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,171,040

Proper Divisor Sum 3,136,650

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2034367 ← → #2034421

Radix Representation

Decimal	2034390
Binary	111110000101011010110 (21 bits)
Octal	0o7605326
Hexadecimal	0x1F0AD6

Divisor Catalog (32)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 3,989 7,978 11,967 19,945 23,934 39,890 59,835 67,813 119,670 135,626 203,439 339,065 406,878 678,130 1,017,195 2,034,390

Collatz Trajectory (109 steps to reach 1)

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

2,034,390 1,017,195 3,051,586 1,525,793 4,577,380 2,288,690 1,144,345 3,433,036 1,716,518 858,259 2,574,778 1,287,389 3,862,168 1,931,084 965,542 482,771 1,448,314 724,157 2,172,472 1,086,236 543,118 271,559 814,678 407,339 1,222,018 611,009 1,833,028 916,514 458,257 1,374,772 687,386 343,693 1,031,080 515,540 257,770 128,885 386,656 193,328 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359

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