λ
Sigma Notebook

2,666,703

3 × 13 × 101 × 677
Deficient Odd Composite

2,666,703 is odd and not a perfect square. Its factorization is 3 × 13 × 101 × 677 and its 16 divisors sum to 3,872,736.

Prime Factor Structure

Factorization String 3 × 13 × 101 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,872,736
Proper Divisor Sum 1,206,033
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2666693 ← → #2666717

Radix Representation

Decimal 2666703
Binary 1010001011000011001111 (22 bits)
Octal 0o12130317
Hexadecimal 0x28B0CF

Divisor Catalog (16)

1 3 13 39 101 303 677 1,313 2,031 3,939 8,801 26,403 68,377 205,131 888,901 2,666,703

Collatz Trajectory (143 steps to reach 1)

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

2,666,703 8,000,110 4,000,055 12,000,166 6,000,083 18,000,250 9,000,125 27,000,376 13,500,188 6,750,094 3,375,047 10,125,142 5,062,571 15,187,714 7,593,857 22,781,572 11,390,786 5,695,393 17,086,180 8,543,090 4,271,545 12,814,636 6,407,318 3,203,659 9,610,978 4,805,489 14,416,468 7,208,234 3,604,117 10,812,352 5,406,176 2,703,088 1,351,544 675,772 337,886 168,943 506,830 253,415 760,246 380,123 1,140,370 570,185 1,710,556 855,278 427,639 1,282,918 641,459 1,924,378 962,189 2,886,568 1,443,284 721,642 360,821 1,082,464 541,232 270,616 135,308 67,654 33,827 101,482

More profiles

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