λ
Sequence Observatory

4,894,109

11 × 59 × 7541
Deficient Odd Composite

Starting at 4,894,109, the Collatz iteration reaches 1 after 144 steps. The first transition is 14682328; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 59 × 7541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,430,240
Proper Divisor Sum 536,131
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4894103 ← → #4894111

Radix Representation

Decimal 4894109
Binary 10010101010110110011101 (23 bits)
Octal 0o22526635
Hexadecimal 0x4AAD9D

Divisor Catalog (8)

1 11 59 649 7,541 82,951 444,919 4,894,109

Collatz Trajectory (144 steps to reach 1)

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

4,894,109 14,682,328 7,341,164 3,670,582 1,835,291 5,505,874 2,752,937 8,258,812 4,129,406 2,064,703 6,194,110 3,097,055 9,291,166 4,645,583 13,936,750 6,968,375 20,905,126 10,452,563 31,357,690 15,678,845 47,036,536 23,518,268 11,759,134 5,879,567 17,638,702 8,819,351 26,458,054 13,229,027 39,687,082 19,843,541 59,530,624 29,765,312 14,882,656 7,441,328 3,720,664 1,860,332 930,166 465,083 1,395,250 697,625 2,092,876 1,046,438 523,219 1,569,658 784,829 2,354,488 1,177,244 588,622 294,311 882,934 441,467 1,324,402 662,201 1,986,604 993,302 496,651 1,489,954 744,977 2,234,932 1,117,466

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