λ
Sequence Observatory

3,033,012

22 × 3 × 197 × 1283
Abundant Even Composite

Starting at 3,033,012, the Collatz iteration reaches 1 after 81 steps. The first transition is 1516506; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 197 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,118,496
Proper Divisor Sum 4,085,484
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3033011 ← → #3033053

Radix Representation

Decimal 3033012
Binary 1011100100011110110100 (22 bits)
Octal 0o13443664
Hexadecimal 0x2E47B4

Divisor Catalog (24)

1 2 3 4 6 12 197 394 591 788 1,182 1,283 2,364 2,566 3,849 5,132 7,698 15,396 252,751 505,502 758,253 1,011,004 1,516,506 3,033,012

Collatz Trajectory (81 steps to reach 1)

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

3,033,012 1,516,506 758,253 2,274,760 1,137,380 568,690 284,345 853,036 426,518 213,259 639,778 319,889 959,668 479,834 239,917 719,752 359,876 179,938 89,969 269,908 134,954 67,477 202,432 101,216 50,608 25,304 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535

More profiles

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