λ
Sigma Notebook

9,893,790

2 × 32 × 5 × 211 × 521
Abundant Even Composite

9,893,790 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 211 × 521 and its 48 divisors sum to 25,895,376.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 211 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,895,376
Proper Divisor Sum 16,001,586
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9893789 ← → #9893803

Radix Representation

Decimal 9893790
Binary 100101101111011110011110 (24 bits)
Octal 0o45573636
Hexadecimal 0x96F79E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 211 422 521 633 1,042 1,055 1,266 1,563 1,899 2,110 2,605 3,126 3,165 3,798 4,689 5,210 6,330 7,815 9,378 9,495 15,630 18,990 23,445 46,890 109,931 219,862 329,793 549,655 659,586 989,379 1,099,310 1,648,965 1,978,758 3,297,930 4,946,895 9,893,790

Collatz Trajectory (207 steps to reach 1)

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

9,893,790 4,946,895 14,840,686 7,420,343 22,261,030 11,130,515 33,391,546 16,695,773 50,087,320 25,043,660 12,521,830 6,260,915 18,782,746 9,391,373 28,174,120 14,087,060 7,043,530 3,521,765 10,565,296 5,282,648 2,641,324 1,320,662 660,331 1,980,994 990,497 2,971,492 1,485,746 742,873 2,228,620 1,114,310 557,155 1,671,466 835,733 2,507,200 1,253,600 626,800 313,400 156,700 78,350 39,175 117,526 58,763 176,290 88,145 264,436 132,218 66,109 198,328 99,164 49,582 24,791 74,374 37,187 111,562 55,781 167,344 83,672 41,836 20,918 10,459

More profiles

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