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Atlas › Integer Profiles › Node 6,873,370

6,873,370

2 × 5 × 7 × 149 × 659
Abundant Even Composite

6,873,370 factors as 2 × 5 × 7 × 149 × 659. Its 32 positive divisors give a proper-divisor sum of 7,382,630, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 149 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,256,000
Proper Divisor Sum 7,382,630
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6873337 ← → #6873371

Radix Representation

Decimal 6873370
Binary 11010001110000100011010 (23 bits)
Octal 0o32160432
Hexadecimal 0x68E11A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 149 298 659 745 1,043 1,318 1,490 2,086 3,295 4,613 5,215 6,590 9,226 10,430 23,065 46,130 98,191 196,382 490,955 687,337 981,910 1,374,674 3,436,685 6,873,370

Collatz Trajectory (103 steps to reach 1)

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

6,873,370 3,436,685 10,310,056 5,155,028 2,577,514 1,288,757 3,866,272 1,933,136 966,568 483,284 241,642 120,821 362,464 181,232 90,616 45,308 22,654 11,327 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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