42,889,338

2 × 3⁴ × 264749

42,889,338 factors as 2 × 3^4 × 264749. Its 20 positive divisors give a proper-divisor sum of 53,214,912, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 264749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 96,104,250

Proper Divisor Sum 53,214,912

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #42889307 ← → #42889339

Radix Representation

Decimal	42889338
Binary	10100011100111000001111010 (26 bits)
Octal	0o243470172
Hexadecimal	0x28E707A

Divisor Catalog (20)

Collatz Trajectory (147 steps to reach 1)

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

42,889,338 21,444,669 64,334,008 32,167,004 16,083,502 8,041,751 24,125,254 12,062,627 36,187,882 18,093,941 54,281,824 27,140,912 13,570,456 6,785,228 3,392,614 1,696,307 5,088,922 2,544,461 7,633,384 3,816,692 1,908,346 954,173 2,862,520 1,431,260 715,630 357,815 1,073,446 536,723 1,610,170 805,085 2,415,256 1,207,628 603,814 301,907 905,722 452,861 1,358,584 679,292 339,646 169,823 509,470 254,735 764,206 382,103 1,146,310 573,155 1,719,466 859,733 2,579,200 1,289,600 644,800 322,400 161,200 80,600 40,300 20,150 10,075 30,226 15,113 45,340

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