λ
Sequence Observatory

1,238,608

24 × 7 × 11059
Abundant Even Composite

Starting at 1,238,608, the Collatz iteration reaches 1 after 80 steps. The first transition is 619304; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 11059
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,742,880
Proper Divisor Sum 1,504,272
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1238599 ← → #1238621

Radix Representation

Decimal 1238608
Binary 100101110011001010000 (21 bits)
Octal 0o4563120
Hexadecimal 0x12E650

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 11,059 22,118 44,236 77,413 88,472 154,826 176,944 309,652 619,304 1,238,608

Collatz Trajectory (80 steps to reach 1)

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

1,238,608 619,304 309,652 154,826 77,413 232,240 116,120 58,060 29,030 14,515 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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