λ
Prime Ledger

2,961,858

2 × 3 × 493643
Abundant Even Composite

2,961,858 has the prime decomposition 2 × 3 × 493643. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 493643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,923,728
Proper Divisor Sum 2,961,870
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2961851 ← → #2961863

Radix Representation

Decimal 2961858
Binary 1011010011000111000010 (22 bits)
Octal 0o13230702
Hexadecimal 0x2D31C2

Divisor Catalog (8)

1 2 3 6 493,643 987,286 1,480,929 2,961,858

Collatz Trajectory (125 steps to reach 1)

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

2,961,858 1,480,929 4,442,788 2,221,394 1,110,697 3,332,092 1,666,046 833,023 2,499,070 1,249,535 3,748,606 1,874,303 5,622,910 2,811,455 8,434,366 4,217,183 12,651,550 6,325,775 18,977,326 9,488,663 28,465,990 14,232,995 42,698,986 21,349,493 64,048,480 32,024,240 16,012,120 8,006,060 4,003,030 2,001,515 6,004,546 3,002,273 9,006,820 4,503,410 2,251,705 6,755,116 3,377,558 1,688,779 5,066,338 2,533,169 7,599,508 3,799,754 1,899,877 5,699,632 2,849,816 1,424,908 712,454 356,227 1,068,682 534,341 1,603,024 801,512 400,756 200,378 100,189 300,568 150,284 75,142 37,571 112,714

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