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Atlas › Integer Profiles › Node 6,654,546

6,654,546

2 × 32 × 41 × 71 × 127
Abundant Even Composite

6,654,546 factors as 2 × 3^2 × 41 × 71 × 127. Its 48 positive divisors give a proper-divisor sum of 8,441,262, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 71 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,095,808
Proper Divisor Sum 8,441,262
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6654539 ← → #6654547

Radix Representation

Decimal 6654546
Binary 11001011000101001010010 (23 bits)
Octal 0o31305122
Hexadecimal 0x658A52

Divisor Catalog (48)

1 2 3 6 9 18 41 71 82 123 127 142 213 246 254 369 381 426 639 738 762 1,143 1,278 2,286 2,911 5,207 5,822 8,733 9,017 10,414 15,621 17,466 18,034 26,199 27,051 31,242 46,863 52,398 54,102 81,153 93,726 162,306 369,697 739,394 1,109,091 2,218,182 3,327,273 6,654,546

Collatz Trajectory (165 steps to reach 1)

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

6,654,546 3,327,273 9,981,820 4,990,910 2,495,455 7,486,366 3,743,183 11,229,550 5,614,775 16,844,326 8,422,163 25,266,490 12,633,245 37,899,736 18,949,868 9,474,934 4,737,467 14,212,402 7,106,201 21,318,604 10,659,302 5,329,651 15,988,954 7,994,477 23,983,432 11,991,716 5,995,858 2,997,929 8,993,788 4,496,894 2,248,447 6,745,342 3,372,671 10,118,014 5,059,007 15,177,022 7,588,511 22,765,534 11,382,767 34,148,302 17,074,151 51,222,454 25,611,227 76,833,682 38,416,841 115,250,524 57,625,262 28,812,631 86,437,894 43,218,947 129,656,842 64,828,421 194,485,264 97,242,632 48,621,316 24,310,658 12,155,329 36,465,988 18,232,994 9,116,497

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