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Atlas › Integer Profiles › Node 6,203,772

6,203,772

22 × 32 × 389 × 443
Abundant Even Composite

6,203,772 factors as 2^2 × 3^2 × 389 × 443. Its 36 positive divisors give a proper-divisor sum of 9,553,788, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 389 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,757,560
Proper Divisor Sum 9,553,788
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6203749 ← → #6203773

Radix Representation

Decimal 6203772
Binary 10111101010100101111100 (23 bits)
Octal 0o27524574
Hexadecimal 0x5EA97C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 389 443 778 886 1,167 1,329 1,556 1,772 2,334 2,658 3,501 3,987 4,668 5,316 7,002 7,974 14,004 15,948 172,327 344,654 516,981 689,308 1,033,962 1,550,943 2,067,924 3,101,886 6,203,772

Collatz Trajectory (165 steps to reach 1)

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

6,203,772 3,101,886 1,550,943 4,652,830 2,326,415 6,979,246 3,489,623 10,468,870 5,234,435 15,703,306 7,851,653 23,554,960 11,777,480 5,888,740 2,944,370 1,472,185 4,416,556 2,208,278 1,104,139 3,312,418 1,656,209 4,968,628 2,484,314 1,242,157 3,726,472 1,863,236 931,618 465,809 1,397,428 698,714 349,357 1,048,072 524,036 262,018 131,009 393,028 196,514 98,257 294,772 147,386 73,693 221,080 110,540 55,270 27,635 82,906 41,453 124,360 62,180 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352

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