λ
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Atlas › Integer Profiles › Node 6,234,450

6,234,450

2 × 3 × 52 × 89 × 467
Abundant Even Composite

6,234,450 factors as 2 × 3 × 5^2 × 89 × 467. Its 48 positive divisors give a proper-divisor sum of 9,434,190, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 89 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,668,640
Proper Divisor Sum 9,434,190
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6234407 ← → #6234469

Radix Representation

Decimal 6234450
Binary 10111110010000101010010 (23 bits)
Octal 0o27620522
Hexadecimal 0x5F2152

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 467 534 890 934 1,335 1,401 2,225 2,335 2,670 2,802 4,450 4,670 6,675 7,005 11,675 13,350 14,010 23,350 35,025 41,563 70,050 83,126 124,689 207,815 249,378 415,630 623,445 1,039,075 1,246,890 2,078,150 3,117,225 6,234,450

Collatz Trajectory (157 steps to reach 1)

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

6,234,450 3,117,225 9,351,676 4,675,838 2,337,919 7,013,758 3,506,879 10,520,638 5,260,319 15,780,958 7,890,479 23,671,438 11,835,719 35,507,158 17,753,579 53,260,738 26,630,369 79,891,108 39,945,554 19,972,777 59,918,332 29,959,166 14,979,583 44,938,750 22,469,375 67,408,126 33,704,063 101,112,190 50,556,095 151,668,286 75,834,143 227,502,430 113,751,215 341,253,646 170,626,823 511,880,470 255,940,235 767,820,706 383,910,353 1,151,731,060 575,865,530 287,932,765 863,798,296 431,899,148 215,949,574 107,974,787 323,924,362 161,962,181 485,886,544 242,943,272 121,471,636 60,735,818 30,367,909 91,103,728 45,551,864 22,775,932 11,387,966 5,693,983 17,081,950 8,540,975

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