λ
Match Zalai

5,784,194

2 × 132 × 109 × 157
Deficient Even Composite

5,784,194 factors as 2 × 13^2 × 109 × 157. Its 24 positive divisors give a proper-divisor sum of 3,757,426, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 109 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,541,620
Proper Divisor Sum 3,757,426
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5784179 ← → #5784209

Radix Representation

Decimal 5784194
Binary 10110000100001010000010 (23 bits)
Octal 0o26041202
Hexadecimal 0x584282

Divisor Catalog (24)

1 2 13 26 109 157 169 218 314 338 1,417 2,041 2,834 4,082 17,113 18,421 26,533 34,226 36,842 53,066 222,469 444,938 2,892,097 5,784,194

Collatz Trajectory (69 steps to reach 1)

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

5,784,194 2,892,097 8,676,292 4,338,146 2,169,073 6,507,220 3,253,610 1,626,805 4,880,416 2,440,208 1,220,104 610,052 305,026 152,513 457,540 228,770 114,385 343,156 171,578 85,789 257,368 128,684 64,342 32,171 96,514 48,257 144,772 72,386 36,193 108,580 54,290 27,145 81,436 40,718 20,359 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768 12,884 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024

More profiles

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