λ
Match Zalai

5,285,240

23 × 5 × 71 × 1861
Abundant Even Composite

5,285,240 factors as 2^3 × 5 × 71 × 1861. Its 32 positive divisors give a proper-divisor sum of 6,780,520, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,065,760
Proper Divisor Sum 6,780,520
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5285237 ← → #5285243

Radix Representation

Decimal 5285240
Binary 10100001010010101111000 (23 bits)
Octal 0o24122570
Hexadecimal 0x50A578

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 1,861 2,840 3,722 7,444 9,305 14,888 18,610 37,220 74,440 132,131 264,262 528,524 660,655 1,057,048 1,321,310 2,642,620 5,285,240

Collatz Trajectory (126 steps to reach 1)

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

5,285,240 2,642,620 1,321,310 660,655 1,981,966 990,983 2,972,950 1,486,475 4,459,426 2,229,713 6,689,140 3,344,570 1,672,285 5,016,856 2,508,428 1,254,214 627,107 1,881,322 940,661 2,821,984 1,410,992 705,496 352,748 176,374 88,187 264,562 132,281 396,844 198,422 99,211 297,634 148,817 446,452 223,226 111,613 334,840 167,420 83,710 41,855 125,566 62,783 188,350 94,175 282,526 141,263 423,790 211,895 635,686 317,843 953,530 476,765 1,430,296 715,148 357,574 178,787 536,362 268,181 804,544 402,272 201,136

More profiles

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