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5,712,984

23 × 33 × 26449
Abundant Even Composite

5,712,984 factors as 2^3 × 3^3 × 26449. Its 32 positive divisors give a proper-divisor sum of 10,157,016, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 26449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,870,000
Proper Divisor Sum 10,157,016
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5712983 ← → #5712989

Radix Representation

Decimal 5712984
Binary 10101110010110001011000 (23 bits)
Octal 0o25626130
Hexadecimal 0x572C58

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 26,449 52,898 79,347 105,796 158,694 211,592 238,041 317,388 476,082 634,776 714,123 952,164 1,428,246 1,904,328 2,856,492 5,712,984

Collatz Trajectory (152 steps to reach 1)

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

5,712,984 2,856,492 1,428,246 714,123 2,142,370 1,071,185 3,213,556 1,606,778 803,389 2,410,168 1,205,084 602,542 301,271 903,814 451,907 1,355,722 677,861 2,033,584 1,016,792 508,396 254,198 127,099 381,298 190,649 571,948 285,974 142,987 428,962 214,481 643,444 321,722 160,861 482,584 241,292 120,646 60,323 180,970 90,485 271,456 135,728 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046

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