λ
Sigma Notebook

1,726,650

2 × 33 × 52 × 1279
Abundant Even Composite

1,726,650 is even and not a perfect square. Its factorization is 2 × 3^3 × 5^2 × 1279 and its 48 divisors sum to 4,761,600.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 1279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,761,600
Proper Divisor Sum 3,034,950
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1726643 ← → #1726651

Radix Representation

Decimal 1726650
Binary 110100101100010111010 (21 bits)
Octal 0o6454272
Hexadecimal 0x1A58BA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1,279 1,350 2,558 3,837 6,395 7,674 11,511 12,790 19,185 23,022 31,975 34,533 38,370 57,555 63,950 69,066 95,925 115,110 172,665 191,850 287,775 345,330 575,550 863,325 1,726,650

Collatz Trajectory (220 steps to reach 1)

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

1,726,650 863,325 2,589,976 1,294,988 647,494 323,747 971,242 485,621 1,456,864 728,432 364,216 182,108 91,054 45,527 136,582 68,291 204,874 102,437 307,312 153,656 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955

More profiles

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