λ
Ratio Atlas

6,770,061

34 × 19 × 53 × 83
Deficient Odd Composite

6,770,061 factors as 3^4 × 19 × 53 × 83. Its 40 positive divisors give a proper-divisor sum of 4,207,059, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3^4 × 19 × 53 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,977,120
Proper Divisor Sum 4,207,059
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6770053 ← → #6770069

Radix Representation

Decimal 6770061
Binary 11001110100110110001101 (23 bits)
Octal 0o31646615
Hexadecimal 0x674D8D

Divisor Catalog (40)

1 3 9 19 27 53 57 81 83 159 171 249 477 513 747 1,007 1,431 1,539 1,577 2,241 3,021 4,293 4,399 4,731 6,723 9,063 13,197 14,193 27,189 39,591 42,579 81,567 83,581 118,773 127,737 250,743 356,319 752,229 2,256,687 6,770,061

Collatz Trajectory (178 steps to reach 1)

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

6,770,061 20,310,184 10,155,092 5,077,546 2,538,773 7,616,320 3,808,160 1,904,080 952,040 476,020 238,010 119,005 357,016 178,508 89,254 44,627 133,882 66,941 200,824 100,412 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199

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