λ
Sigma Notebook

8,961,820

22 × 5 × 7 × 64013
Abundant Even Composite

8,961,820 is even and not a perfect square. Its factorization is 2^2 × 5 × 7 × 64013 and its 24 divisors sum to 21,508,704.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 64013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,508,704
Proper Divisor Sum 12,546,884
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8961811 ← → #8961851

Radix Representation

Decimal 8961820
Binary 100010001011111100011100 (24 bits)
Octal 0o42137434
Hexadecimal 0x88BF1C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 64,013 128,026 256,052 320,065 448,091 640,130 896,182 1,280,260 1,792,364 2,240,455 4,480,910 8,961,820

Collatz Trajectory (119 steps to reach 1)

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

8,961,820 4,480,910 2,240,455 6,721,366 3,360,683 10,082,050 5,041,025 15,123,076 7,561,538 3,780,769 11,342,308 5,671,154 2,835,577 8,506,732 4,253,366 2,126,683 6,380,050 3,190,025 9,570,076 4,785,038 2,392,519 7,177,558 3,588,779 10,766,338 5,383,169 16,149,508 8,074,754 4,037,377 12,112,132 6,056,066 3,028,033 9,084,100 4,542,050 2,271,025 6,813,076 3,406,538 1,703,269 5,109,808 2,554,904 1,277,452 638,726 319,363 958,090 479,045 1,437,136 718,568 359,284 179,642 89,821 269,464 134,732 67,366 33,683 101,050 50,525 151,576 75,788 37,894 18,947 56,842

More profiles

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