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Atlas › Integer Profiles › Node 12,969,744

12,969,744

24 × 3 × 47 × 5749
Abundant Even Composite

12,969,744 factors as 2^4 × 3 × 47 × 5749. Its 40 positive divisors give a proper-divisor sum of 21,254,256, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 47 × 5749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 34,224,000
Proper Divisor Sum 21,254,256
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #12969743 ← → #12969751

Radix Representation

Decimal 12969744
Binary 110001011110011100010000 (24 bits)
Octal 0o61363420
Hexadecimal 0xC5E710

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1,128 2,256 5,749 11,498 17,247 22,996 34,494 45,992 68,988 91,984 137,976 270,203 275,952 540,406 810,609 1,080,812 1,621,218 2,161,624 3,242,436 4,323,248 6,484,872 12,969,744

Collatz Trajectory (117 steps to reach 1)

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

12,969,744 6,484,872 3,242,436 1,621,218 810,609 2,431,828 1,215,914 607,957 1,823,872 911,936 455,968 227,984 113,992 56,996 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715

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