λ
Sequence Observatory

3,308,277

3 × 7 × 263 × 599
Deficient Odd Composite

Starting at 3,308,277, the Collatz iteration reaches 1 after 177 steps. The first transition is 9924832; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 263 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,068,800
Proper Divisor Sum 1,760,523
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3308273 ← → #3308303

Radix Representation

Decimal 3308277
Binary 1100100111101011110101 (22 bits)
Octal 0o14475365
Hexadecimal 0x327AF5

Divisor Catalog (16)

1 3 7 21 263 599 789 1,797 1,841 4,193 5,523 12,579 157,537 472,611 1,102,759 3,308,277

Collatz Trajectory (177 steps to reach 1)

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

3,308,277 9,924,832 4,962,416 2,481,208 1,240,604 620,302 310,151 930,454 465,227 1,395,682 697,841 2,093,524 1,046,762 523,381 1,570,144 785,072 392,536 196,268 98,134 49,067 147,202 73,601 220,804 110,402 55,201 165,604 82,802 41,401 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200 13,100 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584

More profiles

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