λ
Sequence Observatory

2,800,657

19 × 223 × 661
Deficient Odd Composite

Starting at 2,800,657, the Collatz iteration reaches 1 after 94 steps. The first transition is 8401972; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 223 × 661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,965,760
Proper Divisor Sum 165,103
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2800643 ← → #2800663

Radix Representation

Decimal 2800657
Binary 1010101011110000010001 (22 bits)
Octal 0o12536021
Hexadecimal 0x2ABC11

Divisor Catalog (8)

1 19 223 661 4,237 12,559 147,403 2,800,657

Collatz Trajectory (94 steps to reach 1)

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

2,800,657 8,401,972 4,200,986 2,100,493 6,301,480 3,150,740 1,575,370 787,685 2,363,056 1,181,528 590,764 295,382 147,691 443,074 221,537 664,612 332,306 166,153 498,460 249,230 124,615 373,846 186,923 560,770 280,385 841,156 420,578 210,289 630,868 315,434 157,717 473,152 236,576 118,288 59,144 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770

More profiles

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