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706,650

2 × 3 × 52 × 7 × 673
Abundant Even Composite

706,650 factors as 2 × 3 × 5^2 × 7 × 673. Its 48 positive divisors give a proper-divisor sum of 1,299,174, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,005,824
Proper Divisor Sum 1,299,174
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #706633 ← → #706661

Radix Representation

Decimal 706650
Binary 10101100100001011010 (20 bits)
Octal 0o2544132
Hexadecimal 0xAC85A

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 673 1,050 1,346 2,019 3,365 4,038 4,711 6,730 9,422 10,095 14,133 16,825 20,190 23,555 28,266 33,650 47,110 50,475 70,665 100,950 117,775 141,330 235,550 353,325 706,650

Collatz Trajectory (167 steps to reach 1)

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

706,650 353,325 1,059,976 529,988 264,994 132,497 397,492 198,746 99,373 298,120 149,060 74,530 37,265 111,796 55,898 27,949 83,848 41,924 20,962 10,481 31,444 15,722 7,861 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

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