λ
Match Zalai

6,841,972

22 × 1710493
Deficient Even Composite

6,841,972 factors as 2^2 × 1710493. Its 6 positive divisors give a proper-divisor sum of 5,131,486, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 1710493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,973,458
Proper Divisor Sum 5,131,486
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6841963 ← → #6841987

Radix Representation

Decimal 6841972
Binary 11010000110011001110100 (23 bits)
Octal 0o32063164
Hexadecimal 0x686674

Divisor Catalog (6)

1 2 4 1,710,493 3,420,986 6,841,972

Collatz Trajectory (129 steps to reach 1)

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

6,841,972 3,420,986 1,710,493 5,131,480 2,565,740 1,282,870 641,435 1,924,306 962,153 2,886,460 1,443,230 721,615 2,164,846 1,082,423 3,247,270 1,623,635 4,870,906 2,435,453 7,306,360 3,653,180 1,826,590 913,295 2,739,886 1,369,943 4,109,830 2,054,915 6,164,746 3,082,373 9,247,120 4,623,560 2,311,780 1,155,890 577,945 1,733,836 866,918 433,459 1,300,378 650,189 1,950,568 975,284 487,642 243,821 731,464 365,732 182,866 91,433 274,300 137,150 68,575 205,726 102,863 308,590 154,295 462,886 231,443 694,330 347,165 1,041,496 520,748 260,374

More profiles

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