λ
Sequence Observatory

6,110,529

3 × 53 × 38431
Deficient Odd Composite

Starting at 6,110,529, the Collatz iteration reaches 1 after 108 steps. The first transition is 18331588; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 38431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,301,312
Proper Divisor Sum 2,190,783
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6110527 ← → #6110549

Radix Representation

Decimal 6110529
Binary 10111010011110101000001 (23 bits)
Octal 0o27236501
Hexadecimal 0x5D3D41

Divisor Catalog (8)

1 3 53 159 38,431 115,293 2,036,843 6,110,529

Collatz Trajectory (108 steps to reach 1)

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

6,110,529 18,331,588 9,165,794 4,582,897 13,748,692 6,874,346 3,437,173 10,311,520 5,155,760 2,577,880 1,288,940 644,470 322,235 966,706 483,353 1,450,060 725,030 362,515 1,087,546 543,773 1,631,320 815,660 407,830 203,915 611,746 305,873 917,620 458,810 229,405 688,216 344,108 172,054 86,027 258,082 129,041 387,124 193,562 96,781 290,344 145,172 72,586 36,293 108,880 54,440 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079

More profiles

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