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Atlas › Integer Profiles › Node 4,179,735

4,179,735

33 × 5 × 7 × 4423
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 4423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,494,080
Proper Divisor Sum 4,314,345
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4179731 ← → #4179743

Radix Representation

Decimal 4179735
Binary 1111111100011100010111 (22 bits)
Octal 0o17743427
Hexadecimal 0x3FC717

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4,423 13,269 22,115 30,961 39,807 66,345 92,883 119,421 154,805 199,035 278,649 464,415 597,105 835,947 1,393,245 4,179,735

Collatz Trajectory (273 steps to reach 1)

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

4,179,735 12,539,206 6,269,603 18,808,810 9,404,405 28,213,216 14,106,608 7,053,304 3,526,652 1,763,326 881,663 2,644,990 1,322,495 3,967,486 1,983,743 5,951,230 2,975,615 8,926,846 4,463,423 13,390,270 6,695,135 20,085,406 10,042,703 30,128,110 15,064,055 45,192,166 22,596,083 67,788,250 33,894,125 101,682,376 50,841,188 25,420,594 12,710,297 38,130,892 19,065,446 9,532,723 28,598,170 14,299,085 42,897,256 21,448,628 10,724,314 5,362,157 16,086,472 8,043,236 4,021,618 2,010,809 6,032,428 3,016,214 1,508,107 4,524,322 2,262,161 6,786,484 3,393,242 1,696,621 5,089,864 2,544,932 1,272,466 636,233 1,908,700 954,350

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