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Atlas › Integer Profiles › Node 6,375,352

6,375,352

23 × 432 × 431
Deficient Even Composite

6,375,352 factors as 2^3 × 43^2 × 431. Its 24 positive divisors give a proper-divisor sum of 5,891,288, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 43^2 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,266,640
Proper Divisor Sum 5,891,288
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6375319 ← → #6375361

Radix Representation

Decimal 6375352
Binary 11000010100011110111000 (23 bits)
Octal 0o30243670
Hexadecimal 0x6147B8

Divisor Catalog (24)

1 2 4 8 43 86 172 344 431 862 1,724 1,849 3,448 3,698 7,396 14,792 18,533 37,066 74,132 148,264 796,919 1,593,838 3,187,676 6,375,352

Collatz Trajectory (147 steps to reach 1)

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

6,375,352 3,187,676 1,593,838 796,919 2,390,758 1,195,379 3,586,138 1,793,069 5,379,208 2,689,604 1,344,802 672,401 2,017,204 1,008,602 504,301 1,512,904 756,452 378,226 189,113 567,340 283,670 141,835 425,506 212,753 638,260 319,130 159,565 478,696 239,348 119,674 59,837 179,512 89,756 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439

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