λ
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9,562,050

2 × 35 × 52 × 787
Abundant Even Composite

9,562,050 factors as 2 × 3^5 × 5^2 × 787. Its 72 positive divisors give a proper-divisor sum of 17,113,326, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 5^2 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,675,376
Proper Divisor Sum 17,113,326
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9562031 ← → #9562057

Radix Representation

Decimal 9562050
Binary 100100011110011111000010 (24 bits)
Octal 0o44363702
Hexadecimal 0x91E7C2

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 787 810 1,215 1,350 1,574 2,025 2,361 2,430 3,935 4,050 4,722 6,075 7,083 7,870 11,805 12,150 14,166 19,675 21,249 23,610 35,415 39,350 42,498 59,025 63,747 70,830 106,245 118,050 127,494 177,075 191,241 212,490

Collatz Trajectory (101 steps to reach 1)

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

9,562,050 4,781,025 14,343,076 7,171,538 3,585,769 10,757,308 5,378,654 2,689,327 8,067,982 4,033,991 12,101,974 6,050,987 18,152,962 9,076,481 27,229,444 13,614,722 6,807,361 20,422,084 10,211,042 5,105,521 15,316,564 7,658,282 3,829,141 11,487,424 5,743,712 2,871,856 1,435,928 717,964 358,982 179,491 538,474 269,237 807,712 403,856 201,928 100,964 50,482 25,241 75,724 37,862 18,931 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685

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