λ
Match Zalai

6,210,078

2 × 3 × 7 × 147859
Abundant Even Composite

6,210,078 factors as 2 × 3 × 7 × 147859. Its 16 positive divisors give a proper-divisor sum of 7,984,482, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 147859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,194,560
Proper Divisor Sum 7,984,482
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6210067 ← → #6210097

Radix Representation

Decimal 6210078
Binary 10111101100001000011110 (23 bits)
Octal 0o27541036
Hexadecimal 0x5EC21E

Divisor Catalog (16)

1 2 3 6 7 14 21 42 147,859 295,718 443,577 887,154 1,035,013 2,070,026 3,105,039 6,210,078

Collatz Trajectory (134 steps to reach 1)

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

6,210,078 3,105,039 9,315,118 4,657,559 13,972,678 6,986,339 20,959,018 10,479,509 31,438,528 15,719,264 7,859,632 3,929,816 1,964,908 982,454 491,227 1,473,682 736,841 2,210,524 1,105,262 552,631 1,657,894 828,947 2,486,842 1,243,421 3,730,264 1,865,132 932,566 466,283 1,398,850 699,425 2,098,276 1,049,138 524,569 1,573,708 786,854 393,427 1,180,282 590,141 1,770,424 885,212 442,606 221,303 663,910 331,955 995,866 497,933 1,493,800 746,900 373,450 186,725 560,176 280,088 140,044 70,022 35,011 105,034 52,517 157,552 78,776 39,388

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