λ
Match Zalai

8,604,944

24 × 23 × 67 × 349
Abundant Even Composite

8,604,944 factors as 2^4 × 23 × 67 × 349. Its 40 positive divisors give a proper-divisor sum of 9,102,256, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 67 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,707,200
Proper Divisor Sum 9,102,256
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8604943 ← → #8604961

Radix Representation

Decimal 8604944
Binary 100000110100110100010000 (24 bits)
Octal 0o40646420
Hexadecimal 0x834D10

Divisor Catalog (40)

1 2 4 8 16 23 46 67 92 134 184 268 349 368 536 698 1,072 1,396 1,541 2,792 3,082 5,584 6,164 8,027 12,328 16,054 23,383 24,656 32,108 46,766 64,216 93,532 128,432 187,064 374,128 537,809 1,075,618 2,151,236 4,302,472 8,604,944

Collatz Trajectory (199 steps to reach 1)

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

8,604,944 4,302,472 2,151,236 1,075,618 537,809 1,613,428 806,714 403,357 1,210,072 605,036 302,518 151,259 453,778 226,889 680,668 340,334 170,167 510,502 255,251 765,754 382,877 1,148,632 574,316 287,158 143,579 430,738 215,369 646,108 323,054 161,527 484,582 242,291 726,874 363,437 1,090,312 545,156 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580

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