λ
Sequence Observatory

6,110,049

3 × 11 × 185153
Deficient Odd Composite

Starting at 6,110,049, the Collatz iteration reaches 1 after 134 steps. The first transition is 18330148; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 185153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,887,392
Proper Divisor Sum 2,777,343
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6110011 ← → #6110053

Radix Representation

Decimal 6110049
Binary 10111010011101101100001 (23 bits)
Octal 0o27235541
Hexadecimal 0x5D3B61

Divisor Catalog (8)

1 3 11 33 185,153 555,459 2,036,683 6,110,049

Collatz Trajectory (134 steps to reach 1)

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

6,110,049 18,330,148 9,165,074 4,582,537 13,747,612 6,873,806 3,436,903 10,310,710 5,155,355 15,466,066 7,733,033 23,199,100 11,599,550 5,799,775 17,399,326 8,699,663 26,098,990 13,049,495 39,148,486 19,574,243 58,722,730 29,361,365 88,084,096 44,042,048 22,021,024 11,010,512 5,505,256 2,752,628 1,376,314 688,157 2,064,472 1,032,236 516,118 258,059 774,178 387,089 1,161,268 580,634 290,317 870,952 435,476 217,738 108,869 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758

More profiles

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