8,716,032

2⁸ × 3³ × 13 × 97

8,716,032 factors as 2^8 × 3^3 × 13 × 97. Its 144 positive divisors give a proper-divisor sum of 19,327,648, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^8 × 3^3 × 13 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 28,043,680

Proper Divisor Sum 19,327,648

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8716027 ← → #8716039

Radix Representation

Decimal	8716032
Binary	100001001111111100000000 (24 bits)
Octal	0o41177400
Hexadecimal	0x84FF00

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 97 104 108 117 128 144 156 192 194 208 216 234 256 288 291 312 351 384 388 416 432 468 576 582 624 702 768 776 832 864 873 936 1,152 1,164 1,248 1,261

Collatz Trajectory (225 steps to reach 1)

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

8,716,032 4,358,016 2,179,008 1,089,504 544,752 272,376 136,188 68,094 34,047 102,142 51,071 153,214 76,607 229,822 114,911 344,734 172,367 517,102 258,551 775,654 387,827 1,163,482 581,741 1,745,224 872,612 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041 393,124 196,562 98,281 294,844 147,422 73,711 221,134 110,567 331,702

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