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Atlas › Integer Profiles › Node 5,250,864

5,250,864

24 × 3 × 139 × 787
Abundant Even Composite

5,250,864 factors as 2^4 × 3 × 139 × 787. Its 40 positive divisors give a proper-divisor sum of 8,428,816, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 139 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,679,680
Proper Divisor Sum 8,428,816
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5250851 ← → #5250871

Radix Representation

Decimal 5250864
Binary 10100000001111100110000 (23 bits)
Octal 0o24017460
Hexadecimal 0x501F30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 139 278 417 556 787 834 1,112 1,574 1,668 2,224 2,361 3,148 3,336 4,722 6,296 6,672 9,444 12,592 18,888 37,776 109,393 218,786 328,179 437,572 656,358 875,144 1,312,716 1,750,288 2,625,432 5,250,864

Collatz Trajectory (126 steps to reach 1)

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

5,250,864 2,625,432 1,312,716 656,358 328,179 984,538 492,269 1,476,808 738,404 369,202 184,601 553,804 276,902 138,451 415,354 207,677 623,032 311,516 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305

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