3,354,589

7² × 223 × 307

3,354,589 factors as 7^2 × 223 × 307. Its 12 positive divisors give a proper-divisor sum of 577,955, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 7^2 × 223 × 307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,932,544

Proper Divisor Sum 577,955

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3354587 ← → #3354599

Radix Representation

Decimal	3354589
Binary	1100110010111111011101 (22 bits)
Octal	0o14627735
Hexadecimal	0x332FDD

Divisor Catalog (12)

1 7 49 223 307 1,561 2,149 10,927 15,043 68,461 479,227 3,354,589

Collatz Trajectory (115 steps to reach 1)

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

3,354,589 10,063,768 5,031,884 2,515,942 1,257,971 3,773,914 1,886,957 5,660,872 2,830,436 1,415,218 707,609 2,122,828 1,061,414 530,707 1,592,122 796,061 2,388,184 1,194,092 597,046 298,523 895,570 447,785 1,343,356 671,678 335,839 1,007,518 503,759 1,511,278 755,639 2,266,918 1,133,459 3,400,378 1,700,189 5,100,568 2,550,284 1,275,142 637,571 1,912,714 956,357 2,869,072 1,434,536 717,268 358,634 179,317 537,952 268,976 134,488 67,244 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278

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