λ
Sequence Observatory

1,305,358

2 × 41 × 15919
Deficient Even Composite

Starting at 1,305,358, the Collatz iteration reaches 1 after 93 steps. The first transition is 652679; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 15919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,005,920
Proper Divisor Sum 700,562
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1305307 ← → #1305371

Radix Representation

Decimal 1305358
Binary 100111110101100001110 (21 bits)
Octal 0o4765416
Hexadecimal 0x13EB0E

Divisor Catalog (8)

1 2 41 82 15,919 31,838 652,679 1,305,358

Collatz Trajectory (93 steps to reach 1)

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

1,305,358 652,679 1,958,038 979,019 2,937,058 1,468,529 4,405,588 2,202,794 1,101,397 3,304,192 1,652,096 826,048 413,024 206,512 103,256 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 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

More profiles

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