λ
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9,304,890

2 × 3 × 5 × 7 × 59 × 751
Abundant Even Composite

9,304,890 factors as 2 × 3 × 5 × 7 × 59 × 751. Its 64 positive divisors give a proper-divisor sum of 16,684,230, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 59 × 751
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,989,120
Proper Divisor Sum 16,684,230
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9304877 ← → #9304891

Radix Representation

Decimal 9304890
Binary 100011011111101100111010 (24 bits)
Octal 0o43375472
Hexadecimal 0x8DFB3A

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 751 826 885 1,239 1,502 1,770 2,065 2,253 2,478 3,755 4,130 4,506 5,257 6,195 7,510 10,514 11,265 12,390 15,771 22,530 26,285 31,542 44,309 52,570 78,855 88,618 132,927 157,710 221,545 265,854 310,163 443,090 620,326 664,635 930,489 1,329,270 1,550,815

Collatz Trajectory (194 steps to reach 1)

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

9,304,890 4,652,445 13,957,336 6,978,668 3,489,334 1,744,667 5,234,002 2,617,001 7,851,004 3,925,502 1,962,751 5,888,254 2,944,127 8,832,382 4,416,191 13,248,574 6,624,287 19,872,862 9,936,431 29,809,294 14,904,647 44,713,942 22,356,971 67,070,914 33,535,457 100,606,372 50,303,186 25,151,593 75,454,780 37,727,390 18,863,695 56,591,086 28,295,543 84,886,630 42,443,315 127,329,946 63,664,973 190,994,920 95,497,460 47,748,730 23,874,365 71,623,096 35,811,548 17,905,774 8,952,887 26,858,662 13,429,331 40,287,994 20,143,997 60,431,992 30,215,996 15,107,998 7,553,999 22,661,998 11,330,999 33,992,998 16,996,499 50,989,498 25,494,749 76,484,248

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