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Atlas › Integer Profiles › Node 7,352,000

7,352,000

26 × 53 × 919
Abundant Even Composite

7,352,000 factors as 2^6 × 5^3 × 919. Its 56 positive divisors give a proper-divisor sum of 10,875,040, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^6 × 5^3 × 919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,227,040
Proper Divisor Sum 10,875,040
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7351987 ← → #7352017

Radix Representation

Decimal 7352000
Binary 11100000010111011000000 (23 bits)
Octal 0o34027300
Hexadecimal 0x702EC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 919 1,000 1,600 1,838 2,000 3,676 4,000 4,595 7,352 8,000 9,190 14,704 18,380 22,975 29,408 36,760 45,950 58,816 73,520 91,900 114,875 147,040 183,800 229,750 294,080 367,600 459,500 735,200 919,000 1,470,400 1,838,000 3,676,000 7,352,000

Collatz Trajectory (85 steps to reach 1)

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

7,352,000 3,676,000 1,838,000 919,000 459,500 229,750 114,875 344,626 172,313 516,940 258,470 129,235 387,706 193,853 581,560 290,780 145,390 72,695 218,086 109,043 327,130 163,565 490,696 245,348 122,674 61,337 184,012 92,006 46,003 138,010 69,005 207,016 103,508 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300

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