λ
Sequence Observatory

3,088,030

2 × 5 × 11 × 67 × 419
Deficient Even Composite

Starting at 3,088,030, the Collatz iteration reaches 1 after 363 steps. The first transition is 1544015; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 67 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,168,960
Proper Divisor Sum 3,080,930
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3088021 ← → #3088039

Radix Representation

Decimal 3088030
Binary 1011110001111010011110 (22 bits)
Octal 0o13617236
Hexadecimal 0x2F1E9E

Divisor Catalog (32)

1 2 5 10 11 22 55 67 110 134 335 419 670 737 838 1,474 2,095 3,685 4,190 4,609 7,370 9,218 23,045 28,073 46,090 56,146 140,365 280,730 308,803 617,606 1,544,015 3,088,030

Collatz Trajectory (363 steps to reach 1)

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

3,088,030 1,544,015 4,632,046 2,316,023 6,948,070 3,474,035 10,422,106 5,211,053 15,633,160 7,816,580 3,908,290 1,954,145 5,862,436 2,931,218 1,465,609 4,396,828 2,198,414 1,099,207 3,297,622 1,648,811 4,946,434 2,473,217 7,419,652 3,709,826 1,854,913 5,564,740 2,782,370 1,391,185 4,173,556 2,086,778 1,043,389 3,130,168 1,565,084 782,542 391,271 1,173,814 586,907 1,760,722 880,361 2,641,084 1,320,542 660,271 1,980,814 990,407 2,971,222 1,485,611 4,456,834 2,228,417 6,685,252 3,342,626 1,671,313 5,013,940 2,506,970 1,253,485 3,760,456 1,880,228 940,114 470,057 1,410,172 705,086

More profiles

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