8,765,120

2⁶ × 5 × 7² × 13 × 43

8,765,120 has digital root 2. The neighboring primes are 8765117 and 8765131; its proper-divisor sum differs from the starting integer by 9,225,104.

Prime Factor Structure

Factorization String 2^6 × 5 × 7^2 × 13 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 26,755,344

Proper Divisor Sum 17,990,224

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8765117 ← → #8765131

Radix Representation

Decimal	8765120
Binary	100001011011111011000000 (24 bits)
Octal	0o41337300
Hexadecimal	0x85BEC0

Divisor Catalog (60 of 168)

1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 43 49 52 56 64 65 70 80 86 91 98 104 112 130 140 160 172 182 196 208 215 224 245 260 280 301 320 344 364 392 416 430 448 455 490 520 559 560 602 637 688 728 784 832

Collatz Trajectory (119 steps to reach 1)

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

8,765,120 4,382,560 2,191,280 1,095,640 547,820 273,910 136,955 410,866 205,433 616,300 308,150 154,075 462,226 231,113 693,340 346,670 173,335 520,006 260,003 780,010 390,005 1,170,016 585,008 292,504 146,252 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274

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