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Atlas › Integer Profiles › Node 12,135,280

12,135,280

24 × 5 × 17 × 8923
Abundant Even Composite

12,135,280 factors as 2^4 × 5 × 17 × 8923. Its 40 positive divisors give a proper-divisor sum of 17,742,272, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 8923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 29,877,552
Proper Divisor Sum 17,742,272
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #12135257 ← → #12135287

Radix Representation

Decimal 12135280
Binary 101110010010101101110000 (24 bits)
Octal 0o56225560
Hexadecimal 0xB92B70

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 8,923 17,846 35,692 44,615 71,384 89,230 142,768 151,691 178,460 303,382 356,920 606,764 713,840 758,455 1,213,528 1,516,910 2,427,056 3,033,820 6,067,640 12,135,280

Collatz Trajectory (83 steps to reach 1)

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

12,135,280 6,067,640 3,033,820 1,516,910 758,455 2,275,366 1,137,683 3,413,050 1,706,525 5,119,576 2,559,788 1,279,894 639,947 1,919,842 959,921 2,879,764 1,439,882 719,941 2,159,824 1,079,912 539,956 269,978 134,989 404,968 202,484 101,242 50,621 151,864 75,932 37,966 18,983 56,950 28,475 85,426 42,713 128,140 64,070 32,035 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140

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