λ
Sequence Observatory

3,176,730

2 × 32 × 5 × 47 × 751
Abundant Even Composite

Starting at 3,176,730, the Collatz iteration reaches 1 after 120 steps. The first transition is 1588365; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 47 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,446,464
Proper Divisor Sum 5,269,734
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3176729 ← → #3176749

Radix Representation

Decimal 3176730
Binary 1100000111100100011010 (22 bits)
Octal 0o14074432
Hexadecimal 0x30791A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 751 846 1,410 1,502 2,115 2,253 3,755 4,230 4,506 6,759 7,510 11,265 13,518 22,530 33,795 35,297 67,590 70,594 105,891 176,485 211,782 317,673 352,970 529,455 635,346 1,058,910 1,588,365 3,176,730

Collatz Trajectory (120 steps to reach 1)

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

3,176,730 1,588,365 4,765,096 2,382,548 1,191,274 595,637 1,786,912 893,456 446,728 223,364 111,682 55,841 167,524 83,762 41,881 125,644 62,822 31,411 94,234 47,117 141,352 70,676 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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