λ
Sequence Observatory

6,025,729

41 × 47 × 53 × 59
Deficient Odd Composite

Starting at 6,025,729, the Collatz iteration reaches 1 after 139 steps. The first transition is 18077188; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 41 × 47 × 53 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,531,840
Proper Divisor Sum 506,111
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6025727 ← → #6025741

Radix Representation

Decimal 6025729
Binary 10110111111001000000001 (23 bits)
Octal 0o26771001
Hexadecimal 0x5BF201

Divisor Catalog (16)

1 41 47 53 59 1,927 2,173 2,419 2,491 2,773 3,127 102,131 113,693 128,207 146,969 6,025,729

Collatz Trajectory (139 steps to reach 1)

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

6,025,729 18,077,188 9,038,594 4,519,297 13,557,892 6,778,946 3,389,473 10,168,420 5,084,210 2,542,105 7,626,316 3,813,158 1,906,579 5,719,738 2,859,869 8,579,608 4,289,804 2,144,902 1,072,451 3,217,354 1,608,677 4,826,032 2,413,016 1,206,508 603,254 301,627 904,882 452,441 1,357,324 678,662 339,331 1,017,994 508,997 1,526,992 763,496 381,748 190,874 95,437 286,312 143,156 71,578 35,789 107,368 53,684 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230

More profiles

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