λ
Sequence Observatory

5,804,634

2 × 3 × 11 × 37 × 2377
Abundant Even Composite

Starting at 5,804,634, the Collatz iteration reaches 1 after 95 steps. The first transition is 2902317; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 37 × 2377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,012,416
Proper Divisor Sum 7,207,782
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5804621 ← → #5804639

Radix Representation

Decimal 5804634
Binary 10110001001001001011010 (23 bits)
Octal 0o26111132
Hexadecimal 0x58925A

Divisor Catalog (32)

1 2 3 6 11 22 33 37 66 74 111 222 407 814 1,221 2,377 2,442 4,754 7,131 14,262 26,147 52,294 78,441 87,949 156,882 175,898 263,847 527,694 967,439 1,934,878 2,902,317 5,804,634

Collatz Trajectory (95 steps to reach 1)

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

5,804,634 2,902,317 8,706,952 4,353,476 2,176,738 1,088,369 3,265,108 1,632,554 816,277 2,448,832 1,224,416 612,208 306,104 153,052 76,526 38,263 114,790 57,395 172,186 86,093 258,280 129,140 64,570 32,285 96,856 48,428 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154

More profiles

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