λ
Sequence Observatory

6,593,822

2 × 311 × 10601
Deficient Even Composite

Starting at 6,593,822, the Collatz iteration reaches 1 after 147 steps. The first transition is 3296911; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 311 × 10601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,923,472
Proper Divisor Sum 3,329,650
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6593813 ← → #6593833

Radix Representation

Decimal 6593822
Binary 11001001001110100011110 (23 bits)
Octal 0o31116436
Hexadecimal 0x649D1E

Divisor Catalog (8)

1 2 311 622 10,601 21,202 3,296,911 6,593,822

Collatz Trajectory (147 steps to reach 1)

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

6,593,822 3,296,911 9,890,734 4,945,367 14,836,102 7,418,051 22,254,154 11,127,077 33,381,232 16,690,616 8,345,308 4,172,654 2,086,327 6,258,982 3,129,491 9,388,474 4,694,237 14,082,712 7,041,356 3,520,678 1,760,339 5,281,018 2,640,509 7,921,528 3,960,764 1,980,382 990,191 2,970,574 1,485,287 4,455,862 2,227,931 6,683,794 3,341,897 10,025,692 5,012,846 2,506,423 7,519,270 3,759,635 11,278,906 5,639,453 16,918,360 8,459,180 4,229,590 2,114,795 6,344,386 3,172,193 9,516,580 4,758,290 2,379,145 7,137,436 3,568,718 1,784,359 5,353,078 2,676,539 8,029,618 4,014,809 12,044,428 6,022,214 3,011,107 9,033,322

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