λ
Sequence Observatory

2,911,605

3 × 5 × 73 × 2659
Deficient Odd Composite

Starting at 2,911,605, the Collatz iteration reaches 1 after 89 steps. The first transition is 8734816; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,724,160
Proper Divisor Sum 1,812,555
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2911583 ← → #2911621

Radix Representation

Decimal 2911605
Binary 1011000110110101110101 (22 bits)
Octal 0o13066565
Hexadecimal 0x2C6D75

Divisor Catalog (16)

1 3 5 15 73 219 365 1,095 2,659 7,977 13,295 39,885 194,107 582,321 970,535 2,911,605

Collatz Trajectory (89 steps to reach 1)

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

2,911,605 8,734,816 4,367,408 2,183,704 1,091,852 545,926 272,963 818,890 409,445 1,228,336 614,168 307,084 153,542 76,771 230,314 115,157 345,472 172,736 86,368 43,184 21,592 10,796 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

More profiles

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