λ
Modular Archive

3,404,835

34 × 5 × 7 × 1201
Abundant Odd Composite

The decimal integer 3,404,835 is 1100111111010000100011 in binary (22 bits), 14772043 in octal and 33F423 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,981,216
Proper Divisor Sum 3,576,381
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3404827 ← → #3404839

Radix Representation

Decimal 3404835
Binary 1100111111010000100011 (22 bits)
Octal 0o14772043
Hexadecimal 0x33F423

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1,201 2,835 3,603 6,005 8,407 10,809 18,015 25,221 32,427 42,035 54,045 75,663 97,281 126,105 162,135 226,989 378,315 486,405 680,967 1,134,945 3,404,835

Collatz Trajectory (177 steps to reach 1)

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

3,404,835 10,214,506 5,107,253 15,321,760 7,660,880 3,830,440 1,915,220 957,610 478,805 1,436,416 718,208 359,104 179,552 89,776 44,888 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601

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