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651,950

2 × 52 × 13 × 17 × 59
Abundant Even Composite

651,950 factors as 2 × 5^2 × 13 × 17 × 59. Its 48 positive divisors give a proper-divisor sum of 754,210, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 17 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,406,160
Proper Divisor Sum 754,210
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #651943 ← → #651971

Radix Representation

Decimal 651950
Binary 10011111001010101110 (20 bits)
Octal 0o2371256
Hexadecimal 0x9F2AE

Divisor Catalog (48)

1 2 5 10 13 17 25 26 34 50 59 65 85 118 130 170 221 295 325 425 442 590 650 767 850 1,003 1,105 1,475 1,534 2,006 2,210 2,950 3,835 5,015 5,525 7,670 10,030 11,050 13,039 19,175 25,075 26,078 38,350 50,150 65,195 130,390 325,975 651,950

Collatz Trajectory (92 steps to reach 1)

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

651,950 325,975 977,926 488,963 1,466,890 733,445 2,200,336 1,100,168 550,084 275,042 137,521 412,564 206,282 103,141 309,424 154,712 77,356 38,678 19,339 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115

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