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6,562,960

24 × 5 × 82037
Abundant Even Composite

6,562,960 factors as 2^4 × 5 × 82037. Its 20 positive divisors give a proper-divisor sum of 8,696,108, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 82037
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,259,068
Proper Divisor Sum 8,696,108
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6562943 ← → #6562973

Radix Representation

Decimal 6562960
Binary 11001000010010010010000 (23 bits)
Octal 0o31022220
Hexadecimal 0x642490

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 82,037 164,074 328,148 410,185 656,296 820,370 1,312,592 1,640,740 3,281,480 6,562,960

Collatz Trajectory (178 steps to reach 1)

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

6,562,960 3,281,480 1,640,740 820,370 410,185 1,230,556 615,278 307,639 922,918 461,459 1,384,378 692,189 2,076,568 1,038,284 519,142 259,571 778,714 389,357 1,168,072 584,036 292,018 146,009 438,028 219,014 109,507 328,522 164,261 492,784 246,392 123,196 61,598 30,799 92,398 46,199 138,598 69,299 207,898 103,949 311,848 155,924 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193

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