λ
Sigma Notebook

4,355,832

23 × 3 × 13 × 23 × 607
Abundant Even Composite

4,355,832 is even and not a perfect square. Its factorization is 2^3 × 3 × 13 × 23 × 607 and its 64 divisors sum to 12,257,280.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 23 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 7,901,448
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4355831 ← → #4355833

Radix Representation

Decimal 4355832
Binary 10000100111011011111000 (23 bits)
Octal 0o20473370
Hexadecimal 0x4276F8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 607 897 1,196 1,214 1,794 1,821 2,392 2,428 3,588 3,642 4,856 7,176 7,284 7,891 13,961 14,568 15,782 23,673 27,922 31,564 41,883 47,346 55,844 63,128 83,766 94,692 111,688 167,532 181,493 189,384 335,064 362,986 544,479 725,972

Collatz Trajectory (118 steps to reach 1)

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

4,355,832 2,177,916 1,088,958 544,479 1,633,438 816,719 2,450,158 1,225,079 3,675,238 1,837,619 5,512,858 2,756,429 8,269,288 4,134,644 2,067,322 1,033,661 3,100,984 1,550,492 775,246 387,623 1,162,870 581,435 1,744,306 872,153 2,616,460 1,308,230 654,115 1,962,346 981,173 2,943,520 1,471,760 735,880 367,940 183,970 91,985 275,956 137,978 68,989 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606

More profiles

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