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Atlas › Integer Profiles › Node 6,809,296

6,809,296

24 × 13 × 19 × 1723
Abundant Even Composite

6,809,296 factors as 2^4 × 13 × 19 × 1723. Its 40 positive divisors give a proper-divisor sum of 8,155,024, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 19 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,964,320
Proper Divisor Sum 8,155,024
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6809279 ← → #6809323

Radix Representation

Decimal 6809296
Binary 11001111110011011010000 (23 bits)
Octal 0o31763320
Hexadecimal 0x67E6D0

Divisor Catalog (40)

1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1,723 1,976 3,446 3,952 6,892 13,784 22,399 27,568 32,737 44,798 65,474 89,596 130,948 179,192 261,896 358,384 425,581 523,792 851,162 1,702,324 3,404,648 6,809,296

Collatz Trajectory (129 steps to reach 1)

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

6,809,296 3,404,648 1,702,324 851,162 425,581 1,276,744 638,372 319,186 159,593 478,780 239,390 119,695 359,086 179,543 538,630 269,315 807,946 403,973 1,211,920 605,960 302,980 151,490 75,745 227,236 113,618 56,809 170,428 85,214 42,607 127,822 63,911 191,734 95,867 287,602 143,801 431,404 215,702 107,851 323,554 161,777 485,332 242,666 121,333 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193

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