765,280

2⁵ × 5 × 4783

765,280 has the prime decomposition 2^5 × 5 × 4783. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 4783

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,808,352

Proper Divisor Sum 1,043,072

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #765257 ← → #765283

Radix Representation

Decimal	765280
Binary	10111010110101100000 (20 bits)
Octal	0o2726540
Hexadecimal	0xBAD60

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 4,783 9,566 19,132 23,915 38,264 47,830 76,528 95,660 153,056 191,320 382,640 765,280

Collatz Trajectory (149 steps to reach 1)

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

765,280 382,640 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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