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Atlas › Integer Profiles › Node 2,861,500

2,861,500

22 × 53 × 59 × 97
Abundant Even Composite

2,861,500 factors as 2^2 × 5^3 × 59 × 97. Its 48 positive divisors give a proper-divisor sum of 3,559,460, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 59 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,420,960
Proper Divisor Sum 3,559,460
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2861497 ← → #2861531

Radix Representation

Decimal 2861500
Binary 1010111010100110111100 (22 bits)
Octal 0o12724674
Hexadecimal 0x2BA9BC

Divisor Catalog (48)

1 2 4 5 10 20 25 50 59 97 100 118 125 194 236 250 295 388 485 500 590 970 1,180 1,475 1,940 2,425 2,950 4,850 5,723 5,900 7,375 9,700 11,446 12,125 14,750 22,892 24,250 28,615 29,500 48,500 57,230 114,460 143,075 286,150 572,300 715,375 1,430,750 2,861,500

Collatz Trajectory (244 steps to reach 1)

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

2,861,500 1,430,750 715,375 2,146,126 1,073,063 3,219,190 1,609,595 4,828,786 2,414,393 7,243,180 3,621,590 1,810,795 5,432,386 2,716,193 8,148,580 4,074,290 2,037,145 6,111,436 3,055,718 1,527,859 4,583,578 2,291,789 6,875,368 3,437,684 1,718,842 859,421 2,578,264 1,289,132 644,566 322,283 966,850 483,425 1,450,276 725,138 362,569 1,087,708 543,854 271,927 815,782 407,891 1,223,674 611,837 1,835,512 917,756 458,878 229,439 688,318 344,159 1,032,478 516,239 1,548,718 774,359 2,323,078 1,161,539 3,484,618 1,742,309 5,226,928 2,613,464 1,306,732 653,366

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