λ
Sequence Observatory

5,678,636

22 × 331 × 4289
Deficient Even Composite

Starting at 5,678,636, the Collatz iteration reaches 1 after 245 steps. The first transition is 2839318; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 331 × 4289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,969,960
Proper Divisor Sum 4,291,324
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5678627 ← → #5678641

Radix Representation

Decimal 5678636
Binary 10101101010011000101100 (23 bits)
Octal 0o25523054
Hexadecimal 0x56A62C

Divisor Catalog (12)

1 2 4 331 662 1,324 4,289 8,578 17,156 1,419,659 2,839,318 5,678,636

Collatz Trajectory (245 steps to reach 1)

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

5,678,636 2,839,318 1,419,659 4,258,978 2,129,489 6,388,468 3,194,234 1,597,117 4,791,352 2,395,676 1,197,838 598,919 1,796,758 898,379 2,695,138 1,347,569 4,042,708 2,021,354 1,010,677 3,032,032 1,516,016 758,008 379,004 189,502 94,751 284,254 142,127 426,382 213,191 639,574 319,787 959,362 479,681 1,439,044 719,522 359,761 1,079,284 539,642 269,821 809,464 404,732 202,366 101,183 303,550 151,775 455,326 227,663 682,990 341,495 1,024,486 512,243 1,536,730 768,365 2,305,096 1,152,548 576,274 288,137 864,412 432,206 216,103

More profiles

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