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5,757,544

23 × 13 × 23 × 29 × 83
Abundant Even Composite

5,757,544 factors as 2^3 × 13 × 23 × 29 × 83. Its 64 positive divisors give a proper-divisor sum of 6,943,256, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 29 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,700,800
Proper Divisor Sum 6,943,256
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5757541 ← → #5757553

Radix Representation

Decimal 5757544
Binary 10101111101101001101000 (23 bits)
Octal 0o25755150
Hexadecimal 0x57DA68

Divisor Catalog (60 of 64)

1 2 4 8 13 23 26 29 46 52 58 83 92 104 116 166 184 232 299 332 377 598 664 667 754 1,079 1,196 1,334 1,508 1,909 2,158 2,392 2,407 2,668 3,016 3,818 4,316 4,814 5,336 7,636 8,632 8,671 9,628 15,272 17,342 19,256 24,817 31,291 34,684 49,634 55,361 62,582 69,368 99,268 110,722 125,164 198,536 221,444 250,328 442,888

Collatz Trajectory (69 steps to reach 1)

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

5,757,544 2,878,772 1,439,386 719,693 2,159,080 1,079,540 539,770 269,885 809,656 404,828 202,414 101,207 303,622 151,811 455,434 227,717 683,152 341,576 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

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