λ
Sequence Observatory

1,968,964

22 × 137 × 3593
Deficient Even Composite

Starting at 1,968,964, the Collatz iteration reaches 1 after 184 steps. The first transition is 984482; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 137 × 3593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,471,804
Proper Divisor Sum 1,502,840
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #1968919 ← → #1968977

Radix Representation

Decimal 1968964
Binary 111100000101101000100 (21 bits)
Octal 0o7405504
Hexadecimal 0x1E0B44

Divisor Catalog (12)

1 2 4 137 274 548 3,593 7,186 14,372 492,241 984,482 1,968,964

Collatz Trajectory (184 steps to reach 1)

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

1,968,964 984,482 492,241 1,476,724 738,362 369,181 1,107,544 553,772 276,886 138,443 415,330 207,665 622,996 311,498 155,749 467,248 233,624 116,812 58,406 29,203 87,610 43,805 131,416 65,708 32,854 16,427 49,282 24,641 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086

More profiles

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