λ
Sequence Observatory

2,104,746

2 × 3 × 72 × 7159
Abundant Even Composite

Starting at 2,104,746, the Collatz iteration reaches 1 after 197 steps. The first transition is 1052373; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 7159
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,897,440
Proper Divisor Sum 2,792,694
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2104741 ← → #2104747

Radix Representation

Decimal 2104746
Binary 1000000001110110101010 (22 bits)
Octal 0o10016652
Hexadecimal 0x201DAA

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 7,159 14,318 21,477 42,954 50,113 100,226 150,339 300,678 350,791 701,582 1,052,373 2,104,746

Collatz Trajectory (197 steps to reach 1)

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

2,104,746 1,052,373 3,157,120 1,578,560 789,280 394,640 197,320 98,660 49,330 24,665 73,996 36,998 18,499 55,498 27,749 83,248 41,624 20,812 10,406 5,203 15,610 7,805 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364

More profiles

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