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Atlas › Integer Profiles › Node 6,506,244

6,506,244

22 × 34 × 43 × 467
Abundant Even Composite

6,506,244 factors as 2^2 × 3^4 × 43 × 467. Its 60 positive divisors give a proper-divisor sum of 10,935,180, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 43 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 17,441,424
Proper Divisor Sum 10,935,180
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6506243 ← → #6506261

Radix Representation

Decimal 6506244
Binary 11000110100011100000100 (23 bits)
Octal 0o30643404
Hexadecimal 0x634704

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 467 516 774 934 1,161 1,401 1,548 1,868 2,322 2,802 3,483 4,203 4,644 5,604 6,966 8,406 12,609 13,932 16,812 20,081 25,218 37,827 40,162 50,436 60,243 75,654 80,324 120,486 151,308 180,729 240,972 361,458 542,187 722,916 1,084,374 1,626,561 2,168,748 3,253,122 6,506,244

Collatz Trajectory (209 steps to reach 1)

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

6,506,244 3,253,122 1,626,561 4,879,684 2,439,842 1,219,921 3,659,764 1,829,882 914,941 2,744,824 1,372,412 686,206 343,103 1,029,310 514,655 1,543,966 771,983 2,315,950 1,157,975 3,473,926 1,736,963 5,210,890 2,605,445 7,816,336 3,908,168 1,954,084 977,042 488,521 1,465,564 732,782 366,391 1,099,174 549,587 1,648,762 824,381 2,473,144 1,236,572 618,286 309,143 927,430 463,715 1,391,146 695,573 2,086,720 1,043,360 521,680 260,840 130,420 65,210 32,605 97,816 48,908 24,454 12,227 36,682 18,341 55,024 27,512 13,756 6,878

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