λ
Sequence Observatory

6,762,918

2 × 3 × 1127153
Abundant Even Composite

Starting at 6,762,918, the Collatz iteration reaches 1 after 108 steps. The first transition is 3381459; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1127153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,525,848
Proper Divisor Sum 6,762,930
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6762901 ← → #6762941

Radix Representation

Decimal 6762918
Binary 11001110011000110100110 (23 bits)
Octal 0o31630646
Hexadecimal 0x6731A6

Divisor Catalog (8)

1 2 3 6 1,127,153 2,254,306 3,381,459 6,762,918

Collatz Trajectory (108 steps to reach 1)

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

6,762,918 3,381,459 10,144,378 5,072,189 15,216,568 7,608,284 3,804,142 1,902,071 5,706,214 2,853,107 8,559,322 4,279,661 12,838,984 6,419,492 3,209,746 1,604,873 4,814,620 2,407,310 1,203,655 3,610,966 1,805,483 5,416,450 2,708,225 8,124,676 4,062,338 2,031,169 6,093,508 3,046,754 1,523,377 4,570,132 2,285,066 1,142,533 3,427,600 1,713,800 856,900 428,450 214,225 642,676 321,338 160,669 482,008 241,004 120,502 60,251 180,754 90,377 271,132 135,566 67,783 203,350 101,675 305,026 152,513 457,540 228,770 114,385 343,156 171,578 85,789 257,368

More profiles

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