4,436,628

2² × 3 × 7 × 52817

4,436,628 factors as 2^2 × 3 × 7 × 52817. Its 24 positive divisors give a proper-divisor sum of 7,394,604, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 52817

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,831,232

Proper Divisor Sum 7,394,604

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4436603 ← → #4436639

Radix Representation

Decimal	4436628
Binary	10000111011001010010100 (23 bits)
Octal	0o20731224
Hexadecimal	0x43B294

Divisor Catalog (24)

Collatz Trajectory (211 steps to reach 1)

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

4,436,628 2,218,314 1,109,157 3,327,472 1,663,736 831,868 415,934 207,967 623,902 311,951 935,854 467,927 1,403,782 701,891 2,105,674 1,052,837 3,158,512 1,579,256 789,628 394,814 197,407 592,222 296,111 888,334 444,167 1,332,502 666,251 1,998,754 999,377 2,998,132 1,499,066 749,533 2,248,600 1,124,300 562,150 281,075 843,226 421,613 1,264,840 632,420 316,210 158,105 474,316 237,158 118,579 355,738 177,869 533,608 266,804 133,402 66,701 200,104 100,052 50,026 25,013 75,040 37,520 18,760 9,380 4,690

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