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Atlas › Integer Profiles › Node 6,046,390

6,046,390

2 × 5 × 7 × 17 × 5081
Abundant Even Composite

6,046,390 factors as 2 × 5 × 7 × 17 × 5081. Its 32 positive divisors give a proper-divisor sum of 7,126,154, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 5081
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,172,544
Proper Divisor Sum 7,126,154
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6046387 ← → #6046451

Radix Representation

Decimal 6046390
Binary 10111000100001010110110 (23 bits)
Octal 0o27041266
Hexadecimal 0x5C42B6

Divisor Catalog (32)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1,190 5,081 10,162 25,405 35,567 50,810 71,134 86,377 172,754 177,835 355,670 431,885 604,639 863,770 1,209,278 3,023,195 6,046,390

Collatz Trajectory (90 steps to reach 1)

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

6,046,390 3,023,195 9,069,586 4,534,793 13,604,380 6,802,190 3,401,095 10,203,286 5,101,643 15,304,930 7,652,465 22,957,396 11,478,698 5,739,349 17,218,048 8,609,024 4,304,512 2,152,256 1,076,128 538,064 269,032 134,516 67,258 33,629 100,888 50,444 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179

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