λ
Sequence Observatory

3,184,842

2 × 3 × 530807
Abundant Even Composite

Starting at 3,184,842, the Collatz iteration reaches 1 after 133 steps. The first transition is 1592421; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 530807
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,369,696
Proper Divisor Sum 3,184,854
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3184807 ← → #3184859

Radix Representation

Decimal 3184842
Binary 1100001001100011001010 (22 bits)
Octal 0o14114312
Hexadecimal 0x3098CA

Divisor Catalog (8)

1 2 3 6 530,807 1,061,614 1,592,421 3,184,842

Collatz Trajectory (133 steps to reach 1)

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

3,184,842 1,592,421 4,777,264 2,388,632 1,194,316 597,158 298,579 895,738 447,869 1,343,608 671,804 335,902 167,951 503,854 251,927 755,782 377,891 1,133,674 566,837 1,700,512 850,256 425,128 212,564 106,282 53,141 159,424 79,712 39,856 19,928 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230

More profiles

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