λ
Harmonic Matrix

1,350,250

2 × 53 × 11 × 491
Abundant Even Composite

1,350,250 has digital root 7. The neighboring primes are 1350247 and 1350257; its proper-divisor sum differs from the starting integer by 62,572.

Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,763,072
Proper Divisor Sum 1,412,822
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1350247 ← → #1350257

Radix Representation

Decimal 1350250
Binary 101001001101001101010 (21 bits)
Octal 0o5115152
Hexadecimal 0x149A6A

Divisor Catalog (32)

1 2 5 10 11 22 25 50 55 110 125 250 275 491 550 982 1,375 2,455 2,750 4,910 5,401 10,802 12,275 24,550 27,005 54,010 61,375 122,750 135,025 270,050 675,125 1,350,250

Collatz Trajectory (85 steps to reach 1)

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

1,350,250 675,125 2,025,376 1,012,688 506,344 253,172 126,586 63,293 189,880 94,940 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584

More profiles

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