λ
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1,752,416

25 × 23 × 2381
Abundant Even Composite

1,752,416 factors as 2^5 × 23 × 2381. Its 24 positive divisors give a proper-divisor sum of 1,849,168, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 2381
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,601,584
Proper Divisor Sum 1,849,168
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1752407 ← → #1752419

Radix Representation

Decimal 1752416
Binary 110101011110101100000 (21 bits)
Octal 0o6536540
Hexadecimal 0x1ABD60

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 2,381 4,762 9,524 19,048 38,096 54,763 76,192 109,526 219,052 438,104 876,208 1,752,416

Collatz Trajectory (220 steps to reach 1)

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

1,752,416 876,208 438,104 219,052 109,526 54,763 164,290 82,145 246,436 123,218 61,609 184,828 92,414 46,207 138,622 69,311 207,934 103,967 311,902 155,951 467,854 233,927 701,782 350,891 1,052,674 526,337 1,579,012 789,506 394,753 1,184,260 592,130 296,065 888,196 444,098 222,049 666,148 333,074 166,537 499,612 249,806 124,903 374,710 187,355 562,066 281,033 843,100 421,550 210,775 632,326 316,163 948,490 474,245 1,422,736 711,368 355,684 177,842 88,921 266,764 133,382 66,691

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