λ
Prime Ledger

3,088,146

2 × 3 × 19 × 103 × 263
Abundant Even Composite

3,088,146 has the prime decomposition 2 × 3 × 19 × 103 × 263. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 103 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,589,440
Proper Divisor Sum 3,501,294
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3088139 ← → #3088147

Radix Representation

Decimal 3088146
Binary 1011110001111100010010 (22 bits)
Octal 0o13617422
Hexadecimal 0x2F1F12

Divisor Catalog (32)

1 2 3 6 19 38 57 103 114 206 263 309 526 618 789 1,578 1,957 3,914 4,997 5,871 9,994 11,742 14,991 27,089 29,982 54,178 81,267 162,534 514,691 1,029,382 1,544,073 3,088,146

Collatz Trajectory (164 steps to reach 1)

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

3,088,146 1,544,073 4,632,220 2,316,110 1,158,055 3,474,166 1,737,083 5,211,250 2,605,625 7,816,876 3,908,438 1,954,219 5,862,658 2,931,329 8,793,988 4,396,994 2,198,497 6,595,492 3,297,746 1,648,873 4,946,620 2,473,310 1,236,655 3,709,966 1,854,983 5,564,950 2,782,475 8,347,426 4,173,713 12,521,140 6,260,570 3,130,285 9,390,856 4,695,428 2,347,714 1,173,857 3,521,572 1,760,786 880,393 2,641,180 1,320,590 660,295 1,980,886 990,443 2,971,330 1,485,665 4,456,996 2,228,498 1,114,249 3,342,748 1,671,374 835,687 2,507,062 1,253,531 3,760,594 1,880,297 5,640,892 2,820,446 1,410,223 4,230,670

More profiles

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