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Atlas › Integer Profiles › Node 11,680,824

11,680,824

23 × 3 × 179 × 2719
Abundant Even Composite

11,680,824 factors as 2^3 × 3 × 179 × 2719. Its 32 positive divisors give a proper-divisor sum of 17,695,176, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 179 × 2719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,376,000
Proper Divisor Sum 17,695,176
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11680817 ← → #11680841

Radix Representation

Decimal 11680824
Binary 101100100011110000111000 (24 bits)
Octal 0o54436070
Hexadecimal 0xB23C38

Divisor Catalog (32)

1 2 3 4 6 8 12 24 179 358 537 716 1,074 1,432 2,148 2,719 4,296 5,438 8,157 10,876 16,314 21,752 32,628 65,256 486,701 973,402 1,460,103 1,946,804 2,920,206 3,893,608 5,840,412 11,680,824

Collatz Trajectory (184 steps to reach 1)

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

11,680,824 5,840,412 2,920,206 1,460,103 4,380,310 2,190,155 6,570,466 3,285,233 9,855,700 4,927,850 2,463,925 7,391,776 3,695,888 1,847,944 923,972 461,986 230,993 692,980 346,490 173,245 519,736 259,868 129,934 64,967 194,902 97,451 292,354 146,177 438,532 219,266 109,633 328,900 164,450 82,225 246,676 123,338 61,669 185,008 92,504 46,252 23,126 11,563 34,690 17,345 52,036 26,018 13,009 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352

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