λ
Ratio Atlas

6,117,897

3 × 41 × 49739
Deficient Odd Composite

6,117,897 factors as 3 × 41 × 49739. Its 8 positive divisors give a proper-divisor sum of 2,238,423, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 41 × 49739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,356,320
Proper Divisor Sum 2,238,423
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6117893 ← → #6117899

Radix Representation

Decimal 6117897
Binary 10111010101101000001001 (23 bits)
Octal 0o27255011
Hexadecimal 0x5D5A09

Divisor Catalog (8)

1 3 41 123 49,739 149,217 2,039,299 6,117,897

Collatz Trajectory (134 steps to reach 1)

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

6,117,897 18,353,692 9,176,846 4,588,423 13,765,270 6,882,635 20,647,906 10,323,953 30,971,860 15,485,930 7,742,965 23,228,896 11,614,448 5,807,224 2,903,612 1,451,806 725,903 2,177,710 1,088,855 3,266,566 1,633,283 4,899,850 2,449,925 7,349,776 3,674,888 1,837,444 918,722 459,361 1,378,084 689,042 344,521 1,033,564 516,782 258,391 775,174 387,587 1,162,762 581,381 1,744,144 872,072 436,036 218,018 109,009 327,028 163,514 81,757 245,272 122,636 61,318 30,659 91,978 45,989 137,968 68,984 34,492 17,246 8,623 25,870 12,935 38,806

More profiles

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