λ
Sequence Observatory

2,911,401

32 × 43 × 7523
Deficient Odd Composite

Starting at 2,911,401, the Collatz iteration reaches 1 after 76 steps. The first transition is 8734204; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 43 × 7523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,303,728
Proper Divisor Sum 1,392,327
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2911399 ← → #2911421

Radix Representation

Decimal 2911401
Binary 1011000110110010101001 (22 bits)
Octal 0o13066251
Hexadecimal 0x2C6CA9

Divisor Catalog (12)

1 3 9 43 129 387 7,523 22,569 67,707 323,489 970,467 2,911,401

Collatz Trajectory (76 steps to reach 1)

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

2,911,401 8,734,204 4,367,102 2,183,551 6,550,654 3,275,327 9,825,982 4,912,991 14,738,974 7,369,487 22,108,462 11,054,231 33,162,694 16,581,347 49,744,042 24,872,021 74,616,064 37,308,032 18,654,016 9,327,008 4,663,504 2,331,752 1,165,876 582,938 291,469 874,408 437,204 218,602 109,301 327,904 163,952 81,976 40,988 20,494 10,247 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88

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