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Atlas › Integer Profiles › Node 5,178,696

5,178,696

23 × 3 × 151 × 1429
Abundant Even Composite

5,178,696 factors as 2^3 × 3 × 151 × 1429. Its 32 positive divisors give a proper-divisor sum of 7,862,904, so this integer is abundant. The Collatz stopping time is 294 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 151 × 1429
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,041,600
Proper Divisor Sum 7,862,904
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5178689 ← → #5178709

Radix Representation

Decimal 5178696
Binary 10011110000010101001000 (23 bits)
Octal 0o23602510
Hexadecimal 0x4F0548

Divisor Catalog (32)

1 2 3 4 6 8 12 24 151 302 453 604 906 1,208 1,429 1,812 2,858 3,624 4,287 5,716 8,574 11,432 17,148 34,296 215,779 431,558 647,337 863,116 1,294,674 1,726,232 2,589,348 5,178,696

Collatz Trajectory (294 steps to reach 1)

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

5,178,696 2,589,348 1,294,674 647,337 1,942,012 971,006 485,503 1,456,510 728,255 2,184,766 1,092,383 3,277,150 1,638,575 4,915,726 2,457,863 7,373,590 3,686,795 11,060,386 5,530,193 16,590,580 8,295,290 4,147,645 12,442,936 6,221,468 3,110,734 1,555,367 4,666,102 2,333,051 6,999,154 3,499,577 10,498,732 5,249,366 2,624,683 7,874,050 3,937,025 11,811,076 5,905,538 2,952,769 8,858,308 4,429,154 2,214,577 6,643,732 3,321,866 1,660,933 4,982,800 2,491,400 1,245,700 622,850 311,425 934,276 467,138 233,569 700,708 350,354 175,177 525,532 262,766 131,383 394,150 197,075

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