λ
Sequence Observatory

7,027,831

29 × 67 × 3617
Deficient Odd Composite

Starting at 7,027,831, the Collatz iteration reaches 1 after 178 steps. The first transition is 21083494; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 67 × 3617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,380,720
Proper Divisor Sum 352,889
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7027819 ← → #7027837

Radix Representation

Decimal 7027831
Binary 11010110011110001110111 (23 bits)
Octal 0o32636167
Hexadecimal 0x6B3C77

Divisor Catalog (8)

1 29 67 1,943 3,617 104,893 242,339 7,027,831

Collatz Trajectory (178 steps to reach 1)

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

7,027,831 21,083,494 10,541,747 31,625,242 15,812,621 47,437,864 23,718,932 11,859,466 5,929,733 17,789,200 8,894,600 4,447,300 2,223,650 1,111,825 3,335,476 1,667,738 833,869 2,501,608 1,250,804 625,402 312,701 938,104 469,052 234,526 117,263 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824 148,412 74,206 37,103 111,310 55,655 166,966 83,483 250,450 125,225 375,676 187,838 93,919 281,758 140,879 422,638 211,319 633,958 316,979 950,938 475,469 1,426,408 713,204 356,602 178,301 534,904 267,452

More profiles

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