λ
Sequence Observatory

3,135,192

23 × 3 × 130633
Abundant Even Composite

Starting at 3,135,192, the Collatz iteration reaches 1 after 164 steps. The first transition is 1567596; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 130633
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,838,040
Proper Divisor Sum 4,702,848
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3135163 ← → #3135211

Radix Representation

Decimal 3135192
Binary 1011111101011011011000 (22 bits)
Octal 0o13753330
Hexadecimal 0x2FD6D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 130,633 261,266 391,899 522,532 783,798 1,045,064 1,567,596 3,135,192

Collatz Trajectory (164 steps to reach 1)

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

3,135,192 1,567,596 783,798 391,899 1,175,698 587,849 1,763,548 881,774 440,887 1,322,662 661,331 1,983,994 991,997 2,975,992 1,487,996 743,998 371,999 1,115,998 557,999 1,673,998 836,999 2,510,998 1,255,499 3,766,498 1,883,249 5,649,748 2,824,874 1,412,437 4,237,312 2,118,656 1,059,328 529,664 264,832 132,416 66,208 33,104 16,552 8,276 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94

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