λ
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3,248,050

2 × 52 × 13 × 19 × 263
Abundant Even Composite

3,248,050 factors as 2 × 5^2 × 13 × 19 × 263. Its 48 positive divisors give a proper-divisor sum of 3,626,510, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 19 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,874,560
Proper Divisor Sum 3,626,510
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3248041 ← → #3248053

Radix Representation

Decimal 3248050
Binary 1100011000111110110010 (22 bits)
Octal 0o14307662
Hexadecimal 0x318FB2

Divisor Catalog (48)

1 2 5 10 13 19 25 26 38 50 65 95 130 190 247 263 325 475 494 526 650 950 1,235 1,315 2,470 2,630 3,419 4,997 6,175 6,575 6,838 9,994 12,350 13,150 17,095 24,985 34,190 49,970 64,961 85,475 124,925 129,922 170,950 249,850 324,805 649,610 1,624,025 3,248,050

Collatz Trajectory (63 steps to reach 1)

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

3,248,050 1,624,025 4,872,076 2,436,038 1,218,019 3,654,058 1,827,029 5,481,088 2,740,544 1,370,272 685,136 342,568 171,284 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16

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