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Atlas › Integer Profiles › Node 4,232,124

4,232,124

22 × 32 × 13 × 9043
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 9043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,522,056
Proper Divisor Sum 7,289,932
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4232113 ← → #4232131

Radix Representation

Decimal 4232124
Binary 10000001001001110111100 (23 bits)
Octal 0o20111674
Hexadecimal 0x4093BC

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9,043 18,086 27,129 36,172 54,258 81,387 108,516 117,559 162,774 235,118 325,548 352,677 470,236 705,354 1,058,031 1,410,708 2,116,062 4,232,124

Collatz Trajectory (242 steps to reach 1)

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

4,232,124 2,116,062 1,058,031 3,174,094 1,587,047 4,761,142 2,380,571 7,141,714 3,570,857 10,712,572 5,356,286 2,678,143 8,034,430 4,017,215 12,051,646 6,025,823 18,077,470 9,038,735 27,116,206 13,558,103 40,674,310 20,337,155 61,011,466 30,505,733 91,517,200 45,758,600 22,879,300 11,439,650 5,719,825 17,159,476 8,579,738 4,289,869 12,869,608 6,434,804 3,217,402 1,608,701 4,826,104 2,413,052 1,206,526 603,263 1,809,790 904,895 2,714,686 1,357,343 4,072,030 2,036,015 6,108,046 3,054,023 9,162,070 4,581,035 13,743,106 6,871,553 20,614,660 10,307,330 5,153,665 15,460,996 7,730,498 3,865,249 11,595,748 5,797,874

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