λ
Sequence Observatory

6,284,571

3 × 173 × 12109
Deficient Odd Composite

Starting at 6,284,571, the Collatz iteration reaches 1 after 178 steps. The first transition is 18853714; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 173 × 12109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,428,560
Proper Divisor Sum 2,143,989
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6284569 ← → #6284587

Radix Representation

Decimal 6284571
Binary 10111111110010100011011 (23 bits)
Octal 0o27762433
Hexadecimal 0x5FE51B

Divisor Catalog (8)

1 3 173 519 12,109 36,327 2,094,857 6,284,571

Collatz Trajectory (178 steps to reach 1)

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

6,284,571 18,853,714 9,426,857 28,280,572 14,140,286 7,070,143 21,210,430 10,605,215 31,815,646 15,907,823 47,723,470 23,861,735 71,585,206 35,792,603 107,377,810 53,688,905 161,066,716 80,533,358 40,266,679 120,800,038 60,400,019 181,200,058 90,600,029 271,800,088 135,900,044 67,950,022 33,975,011 101,925,034 50,962,517 152,887,552 76,443,776 38,221,888 19,110,944 9,555,472 4,777,736 2,388,868 1,194,434 597,217 1,791,652 895,826 447,913 1,343,740 671,870 335,935 1,007,806 503,903 1,511,710 755,855 2,267,566 1,133,783 3,401,350 1,700,675 5,102,026 2,551,013 7,653,040 3,826,520 1,913,260 956,630 478,315 1,434,946

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