λ
Sequence Observatory

2,984,658

2 × 3 × 107 × 4649
Abundant Even Composite

Starting at 2,984,658, the Collatz iteration reaches 1 after 182 steps. The first transition is 1492329; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 4649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,026,400
Proper Divisor Sum 3,041,742
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2984629 ← → #2984671

Radix Representation

Decimal 2984658
Binary 1011011000101011010010 (22 bits)
Octal 0o13305322
Hexadecimal 0x2D8AD2

Divisor Catalog (16)

1 2 3 6 107 214 321 642 4,649 9,298 13,947 27,894 497,443 994,886 1,492,329 2,984,658

Collatz Trajectory (182 steps to reach 1)

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

2,984,658 1,492,329 4,476,988 2,238,494 1,119,247 3,357,742 1,678,871 5,036,614 2,518,307 7,554,922 3,777,461 11,332,384 5,666,192 2,833,096 1,416,548 708,274 354,137 1,062,412 531,206 265,603 796,810 398,405 1,195,216 597,608 298,804 149,402 74,701 224,104 112,052 56,026 28,013 84,040 42,020 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

More profiles

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