λ
Sequence Observatory

2,511,685

5 × 11 × 45667
Deficient Odd Composite

Starting at 2,511,685, the Collatz iteration reaches 1 after 130 steps. The first transition is 7535056; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 45667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,288,096
Proper Divisor Sum 776,411
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2511659 ← → #2511697

Radix Representation

Decimal 2511685
Binary 1001100101001101000101 (22 bits)
Octal 0o11451505
Hexadecimal 0x265345

Divisor Catalog (8)

1 5 11 55 45,667 228,335 502,337 2,511,685

Collatz Trajectory (130 steps to reach 1)

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

2,511,685 7,535,056 3,767,528 1,883,764 941,882 470,941 1,412,824 706,412 353,206 176,603 529,810 264,905 794,716 397,358 198,679 596,038 298,019 894,058 447,029 1,341,088 670,544 335,272 167,636 83,818 41,909 125,728 62,864 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445

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