λ
Sequence Observatory

6,187,372

22 × 1069 × 1447
Deficient Even Composite

Starting at 6,187,372, the Collatz iteration reaches 1 after 152 steps. The first transition is 3093686; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1069 × 1447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,845,520
Proper Divisor Sum 4,658,148
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6187367 ← → #6187393

Radix Representation

Decimal 6187372
Binary 10111100110100101101100 (23 bits)
Octal 0o27464554
Hexadecimal 0x5E696C

Divisor Catalog (12)

1 2 4 1,069 1,447 2,138 2,894 4,276 5,788 1,546,843 3,093,686 6,187,372

Collatz Trajectory (152 steps to reach 1)

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

6,187,372 3,093,686 1,546,843 4,640,530 2,320,265 6,960,796 3,480,398 1,740,199 5,220,598 2,610,299 7,830,898 3,915,449 11,746,348 5,873,174 2,936,587 8,809,762 4,404,881 13,214,644 6,607,322 3,303,661 9,910,984 4,955,492 2,477,746 1,238,873 3,716,620 1,858,310 929,155 2,787,466 1,393,733 4,181,200 2,090,600 1,045,300 522,650 261,325 783,976 391,988 195,994 97,997 293,992 146,996 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182

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