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Atlas › Integer Profiles › Node 5,723,000

5,723,000

23 × 53 × 59 × 97
Abundant Even Composite

5,723,000 factors as 2^3 × 5^3 × 59 × 97. Its 64 positive divisors give a proper-divisor sum of 8,036,200, so this integer is abundant. The Collatz stopping time is 245 steps.

Prime Factor Structure

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

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,759,200
Proper Divisor Sum 8,036,200
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5722991 ← → #5723017

Radix Representation

Decimal 5723000
Binary 10101110101001101111000 (23 bits)
Octal 0o25651570
Hexadecimal 0x575378

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 40 50 59 97 100 118 125 194 200 236 250 295 388 472 485 500 590 776 970 1,000 1,180 1,475 1,940 2,360 2,425 2,950 3,880 4,850 5,723 5,900 7,375 9,700 11,446 11,800 12,125 14,750 19,400 22,892 24,250 28,615 29,500 45,784 48,500 57,230 59,000 97,000 114,460 143,075 228,920 286,150 572,300 715,375

Collatz Trajectory (245 steps to reach 1)

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

5,723,000 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

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