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9,507,050

2 × 52 × 7 × 23 × 1181
Abundant Even Composite

9,507,050 factors as 2 × 5^2 × 7 × 23 × 1181. Its 48 positive divisors give a proper-divisor sum of 11,598,742, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 23 × 1181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,105,792
Proper Divisor Sum 11,598,742
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9507037 ← → #9507053

Radix Representation

Decimal 9507050
Binary 100100010001000011101010 (24 bits)
Octal 0o44210352
Hexadecimal 0x9110EA

Divisor Catalog (48)

1 2 5 7 10 14 23 25 35 46 50 70 115 161 175 230 322 350 575 805 1,150 1,181 1,610 2,362 4,025 5,905 8,050 8,267 11,810 16,534 27,163 29,525 41,335 54,326 59,050 82,670 135,815 190,141 206,675 271,630 380,282 413,350 679,075 950,705 1,358,150 1,901,410 4,753,525 9,507,050

Collatz Trajectory (163 steps to reach 1)

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

9,507,050 4,753,525 14,260,576 7,130,288 3,565,144 1,782,572 891,286 445,643 1,336,930 668,465 2,005,396 1,002,698 501,349 1,504,048 752,024 376,012 188,006 94,003 282,010 141,005 423,016 211,508 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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