λ
Ratio Atlas
Atlas › Integer Profiles › Node 700,620

700,620

22 × 3 × 5 × 11677
Abundant Even Composite

700,620 factors as 2^2 × 3 × 5 × 11677. Its 24 positive divisors give a proper-divisor sum of 1,261,284, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,961,904
Proper Divisor Sum 1,261,284
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #700597 ← → #700627

Radix Representation

Decimal 700620
Binary 10101011000011001100 (20 bits)
Octal 0o2530314
Hexadecimal 0xAB0CC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 11,677 23,354 35,031 46,708 58,385 70,062 116,770 140,124 175,155 233,540 350,310 700,620

Collatz Trajectory (105 steps to reach 1)

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

700,620 350,310 175,155 525,466 262,733 788,200 394,100 197,050 98,525 295,576 147,788 73,894 36,947 110,842 55,421 166,264 83,132 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145 210,436 105,218 52,609 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742

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