λ
Match Zalai

6,833,092

22 × 7 × 73 × 3343
Abundant Even Composite

6,833,092 factors as 2^2 × 7 × 73 × 3343. Its 24 positive divisors give a proper-divisor sum of 7,024,444, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 73 × 3343
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,857,536
Proper Divisor Sum 7,024,444
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6833089 ← → #6833107

Radix Representation

Decimal 6833092
Binary 11010000100001111000100 (23 bits)
Octal 0o32041704
Hexadecimal 0x6843C4

Divisor Catalog (24)

1 2 4 7 14 28 73 146 292 511 1,022 2,044 3,343 6,686 13,372 23,401 46,802 93,604 244,039 488,078 976,156 1,708,273 3,416,546 6,833,092

Collatz Trajectory (178 steps to reach 1)

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

6,833,092 3,416,546 1,708,273 5,124,820 2,562,410 1,281,205 3,843,616 1,921,808 960,904 480,452 240,226 120,113 360,340 180,170 90,085 270,256 135,128 67,564 33,782 16,891 50,674 25,337 76,012 38,006 19,003 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

More profiles

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