7,876,320

2⁵ × 3 × 5 × 61 × 269

7,876,320 has the prime decomposition 2^5 × 3 × 5 × 61 × 269. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 61 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,310,880

Proper Divisor Sum 17,434,560

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7876291 ← → #7876331

Radix Representation

Decimal	7876320
Binary	11110000010111011100000 (23 bits)
Octal	0o36027340
Hexadecimal	0x782EE0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 269 305 366 480 488 538 610 732 807 915 976 1,076 1,220 1,345 1,464 1,614 1,830 1,952 2,152 2,440 2,690 2,928 3,228 3,660 4,035 4,304 4,880 5,380 5,856 6,456 7,320 8,070 8,608

Collatz Trajectory (124 steps to reach 1)

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

7,876,320 3,938,160 1,969,080 984,540 492,270 246,135 738,406 369,203 1,107,610 553,805 1,661,416 830,708 415,354 207,677 623,032 311,516 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958

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