λ
Sequence Observatory

7,378,645

5 × 1475729
Deficient Odd Composite

Starting at 7,378,645, the Collatz iteration reaches 1 after 204 steps. The first transition is 22135936; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1475729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,854,380
Proper Divisor Sum 1,475,735
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7378639 ← → #7378661

Radix Representation

Decimal 7378645
Binary 11100001001011011010101 (23 bits)
Octal 0o34113325
Hexadecimal 0x7096D5

Divisor Catalog (4)

1 5 1,475,729 7,378,645

Collatz Trajectory (204 steps to reach 1)

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

7,378,645 22,135,936 11,067,968 5,533,984 2,766,992 1,383,496 691,748 345,874 172,937 518,812 259,406 129,703 389,110 194,555 583,666 291,833 875,500 437,750 218,875 656,626 328,313 984,940 492,470 246,235 738,706 369,353 1,108,060 554,030 277,015 831,046 415,523 1,246,570 623,285 1,869,856 934,928 467,464 233,732 116,866 58,433 175,300 87,650 43,825 131,476 65,738 32,869 98,608 49,304 24,652 12,326 6,163 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802

More profiles

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