8,772,512

2⁵ × 7 × 39163

8,772,512 factors as 2^5 × 7 × 39163. Its 24 positive divisors give a proper-divisor sum of 10,966,144, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 39163

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,738,656

Proper Divisor Sum 10,966,144

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8772481 ← → #8772523

Radix Representation

Decimal	8772512
Binary	100001011101101110100000 (24 bits)
Octal	0o41355640
Hexadecimal	0x85DBA0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 39,163 78,326 156,652 274,141 313,304 548,282 626,608 1,096,564 1,253,216 2,193,128 4,386,256 8,772,512

Collatz Trajectory (137 steps to reach 1)

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

8,772,512 4,386,256 2,193,128 1,096,564 548,282 274,141 822,424 411,212 205,606 102,803 308,410 154,205 462,616 231,308 115,654 57,827 173,482 86,741 260,224 130,112 65,056 32,528 16,264 8,132 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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