λ
Sequence Observatory

7,381,978

2 × 17 × 217117
Deficient Even Composite

Starting at 7,381,978, the Collatz iteration reaches 1 after 204 steps. The first transition is 3690989; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 217117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,724,372
Proper Divisor Sum 4,342,394
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7381967 ← → #7382003

Radix Representation

Decimal 7381978
Binary 11100001010001111011010 (23 bits)
Octal 0o34121732
Hexadecimal 0x70A3DA

Divisor Catalog (8)

1 2 17 34 217,117 434,234 3,690,989 7,381,978

Collatz Trajectory (204 steps to reach 1)

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

7,381,978 3,690,989 11,072,968 5,536,484 2,768,242 1,384,121 4,152,364 2,076,182 1,038,091 3,114,274 1,557,137 4,671,412 2,335,706 1,167,853 3,503,560 1,751,780 875,890 437,945 1,313,836 656,918 328,459 985,378 492,689 1,478,068 739,034 369,517 1,108,552 554,276 277,138 138,569 415,708 207,854 103,927 311,782 155,891 467,674 233,837 701,512 350,756 175,378 87,689 263,068 131,534 65,767 197,302 98,651 295,954 147,977 443,932 221,966 110,983 332,950 166,475 499,426 249,713 749,140 374,570 187,285 561,856 280,928

More profiles

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