λ
Sequence Observatory

7,821,206

2 × 787 × 4969
Deficient Even Composite

Starting at 7,821,206, the Collatz iteration reaches 1 after 93 steps. The first transition is 3910603; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 787 × 4969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,749,080
Proper Divisor Sum 3,927,874
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7821197 ← → #7821211

Radix Representation

Decimal 7821206
Binary 11101110101011110010110 (23 bits)
Octal 0o35653626
Hexadecimal 0x775796

Divisor Catalog (8)

1 2 787 1,574 4,969 9,938 3,910,603 7,821,206

Collatz Trajectory (93 steps to reach 1)

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

7,821,206 3,910,603 11,731,810 5,865,905 17,597,716 8,798,858 4,399,429 13,198,288 6,599,144 3,299,572 1,649,786 824,893 2,474,680 1,237,340 618,670 309,335 928,006 464,003 1,392,010 696,005 2,088,016 1,044,008 522,004 261,002 130,501 391,504 195,752 97,876 48,938 24,469 73,408 36,704 18,352 9,176 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

More profiles

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