λ
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765,216

25 × 32 × 2657
Abundant Even Composite

765,216 factors as 2^5 × 3^2 × 2657. Its 36 positive divisors give a proper-divisor sum of 1,411,686, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 2657
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,176,902
Proper Divisor Sum 1,411,686
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #765211 ← → #765227

Radix Representation

Decimal 765216
Binary 10111010110100100000 (20 bits)
Octal 0o2726440
Hexadecimal 0xBAD20

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2,657 5,314 7,971 10,628 15,942 21,256 23,913 31,884 42,512 47,826 63,768 85,024 95,652 127,536 191,304 255,072 382,608 765,216

Collatz Trajectory (149 steps to reach 1)

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

765,216 382,608 191,304 95,652 47,826 23,913 71,740 35,870 17,935 53,806 26,903 80,710 40,355 121,066 60,533 181,600 90,800 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 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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