8,727,500

2² × 5⁴ × 3491

8,727,500 is even and not a perfect square. Its factorization is 2^2 × 5^4 × 3491 and its 30 divisors sum to 19,090,764.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 3491

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 19,090,764

Proper Divisor Sum 10,363,264

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8727497 ← → #8727529

Radix Representation

Decimal	8727500
Binary	100001010010101111001100 (24 bits)
Octal	0o41225714
Hexadecimal	0x852BCC

Divisor Catalog (30)

1 2 4 5 10 20 25 50 100 125 250 500 625 1,250 2,500 3,491 6,982 13,964 17,455 34,910 69,820 87,275 174,550 349,100 436,375 872,750 1,745,500 2,181,875 4,363,750 8,727,500

Collatz Trajectory (150 steps to reach 1)

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

8,727,500 4,363,750 2,181,875 6,545,626 3,272,813 9,818,440 4,909,220 2,454,610 1,227,305 3,681,916 1,840,958 920,479 2,761,438 1,380,719 4,142,158 2,071,079 6,213,238 3,106,619 9,319,858 4,659,929 13,979,788 6,989,894 3,494,947 10,484,842 5,242,421 15,727,264 7,863,632 3,931,816 1,965,908 982,954 491,477 1,474,432 737,216 368,608 184,304 92,152 46,076 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152

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