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Atlas › Integer Profiles › Node 6,203,466

6,203,466

2 × 34 × 149 × 257
Abundant Even Composite

6,203,466 factors as 2 × 3^4 × 149 × 257. Its 40 positive divisors give a proper-divisor sum of 7,844,634, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 149 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,048,100
Proper Divisor Sum 7,844,634
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6203459 ← → #6203473

Radix Representation

Decimal 6203466
Binary 10111101010100001001010 (23 bits)
Octal 0o27524112
Hexadecimal 0x5EA84A

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 149 162 257 298 447 514 771 894 1,341 1,542 2,313 2,682 4,023 4,626 6,939 8,046 12,069 13,878 20,817 24,138 38,293 41,634 76,586 114,879 229,758 344,637 689,274 1,033,911 2,067,822 3,101,733 6,203,466

Collatz Trajectory (165 steps to reach 1)

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

6,203,466 3,101,733 9,305,200 4,652,600 2,326,300 1,163,150 581,575 1,744,726 872,363 2,617,090 1,308,545 3,925,636 1,962,818 981,409 2,944,228 1,472,114 736,057 2,208,172 1,104,086 552,043 1,656,130 828,065 2,484,196 1,242,098 621,049 1,863,148 931,574 465,787 1,397,362 698,681 2,096,044 1,048,022 524,011 1,572,034 786,017 2,358,052 1,179,026 589,513 1,768,540 884,270 442,135 1,326,406 663,203 1,989,610 994,805 2,984,416 1,492,208 746,104 373,052 186,526 93,263 279,790 139,895 419,686 209,843 629,530 314,765 944,296 472,148 236,074

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