3,548,874

2 × 3 × 7² × 12071

3,548,874 has digital root 3. The neighboring primes are 3548863 and 3548879; its proper-divisor sum differs from the starting integer by 1,159,500.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 12071

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,257,248

Proper Divisor Sum 4,708,374

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3548863 ← → #3548879

Radix Representation

Decimal	3548874
Binary	1101100010011011001010 (22 bits)
Octal	0o15423312
Hexadecimal	0x3626CA

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 12,071 24,142 36,213 72,426 84,497 168,994 253,491 506,982 591,479 1,182,958 1,774,437 3,548,874

Collatz Trajectory (234 steps to reach 1)

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

3,548,874 1,774,437 5,323,312 2,661,656 1,330,828 665,414 332,707 998,122 499,061 1,497,184 748,592 374,296 187,148 93,574 46,787 140,362 70,181 210,544 105,272 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622 33,311 99,934 49,967 149,902 74,951 224,854 112,427 337,282 168,641 505,924 252,962 126,481 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516

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