8,289,112

2³ × 13² × 6131

8,289,112 has digital root 4. The neighboring primes are 8289103 and 8289119; its proper-divisor sum differs from the starting integer by 254,116.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 6131

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,832,340

Proper Divisor Sum 8,543,228

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8289103 ← → #8289119

Radix Representation

Decimal	8289112
Binary	11111100111101101011000 (23 bits)
Octal	0o37475530
Hexadecimal	0x7E7B58

Divisor Catalog (24)

1 2 4 8 13 26 52 104 169 338 676 1,352 6,131 12,262 24,524 49,048 79,703 159,406 318,812 637,624 1,036,139 2,072,278 4,144,556 8,289,112

Collatz Trajectory (168 steps to reach 1)

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

8,289,112 4,144,556 2,072,278 1,036,139 3,108,418 1,554,209 4,662,628 2,331,314 1,165,657 3,496,972 1,748,486 874,243 2,622,730 1,311,365 3,934,096 1,967,048 983,524 491,762 245,881 737,644 368,822 184,411 553,234 276,617 829,852 414,926 207,463 622,390 311,195 933,586 466,793 1,400,380 700,190 350,095 1,050,286 525,143 1,575,430 787,715 2,363,146 1,181,573 3,544,720 1,772,360 886,180 443,090 221,545 664,636 332,318 166,159 498,478 249,239 747,718 373,859 1,121,578 560,789 1,682,368 841,184 420,592 210,296 105,148 52,574

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