λ
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Atlas › Integer Profiles › Node 5,111,392

5,111,392

25 × 11 × 13 × 1117
Abundant Even Composite

5,111,392 factors as 2^5 × 11 × 13 × 1117. Its 48 positive divisors give a proper-divisor sum of 6,721,520, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,832,912
Proper Divisor Sum 6,721,520
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5111377 ← → #5111401

Radix Representation

Decimal 5111392
Binary 10011011111111001100000 (23 bits)
Octal 0o23377140
Hexadecimal 0x4DFE60

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1,117 1,144 2,234 2,288 4,468 4,576 8,936 12,287 14,521 17,872 24,574 29,042 35,744 49,148 58,084 98,296 116,168 159,731 196,592 232,336 319,462 393,184 464,672 638,924 1,277,848 2,555,696 5,111,392

Collatz Trajectory (82 steps to reach 1)

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

5,111,392 2,555,696 1,277,848 638,924 319,462 159,731 479,194 239,597 718,792 359,396 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152

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