λ
Sequence Observatory

7,388,782

2 × 181 × 20411
Deficient Even Composite

Starting at 7,388,782, the Collatz iteration reaches 1 after 310 steps. The first transition is 3694391; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 181 × 20411
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,144,952
Proper Divisor Sum 3,756,170
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7388779 ← → #7388803

Radix Representation

Decimal 7388782
Binary 11100001011111001101110 (23 bits)
Octal 0o34137156
Hexadecimal 0x70BE6E

Divisor Catalog (8)

1 2 181 362 20,411 40,822 3,694,391 7,388,782

Collatz Trajectory (310 steps to reach 1)

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

7,388,782 3,694,391 11,083,174 5,541,587 16,624,762 8,312,381 24,937,144 12,468,572 6,234,286 3,117,143 9,351,430 4,675,715 14,027,146 7,013,573 21,040,720 10,520,360 5,260,180 2,630,090 1,315,045 3,945,136 1,972,568 986,284 493,142 246,571 739,714 369,857 1,109,572 554,786 277,393 832,180 416,090 208,045 624,136 312,068 156,034 78,017 234,052 117,026 58,513 175,540 87,770 43,885 131,656 65,828 32,914 16,457 49,372 24,686 12,343 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870

More profiles

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