λ
Ratio Atlas

8,561,641

11 × 29 × 26839
Deficient Odd Composite

8,561,641 factors as 11 × 29 × 26839. Its 8 positive divisors give a proper-divisor sum of 1,100,759, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 11 × 29 × 26839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,662,400
Proper Divisor Sum 1,100,759
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8561633 ← → #8561701

Radix Representation

Decimal 8561641
Binary 100000101010001111101001 (24 bits)
Octal 0o40521751
Hexadecimal 0x82A3E9

Divisor Catalog (8)

1 11 29 319 26,839 295,229 778,331 8,561,641

Collatz Trajectory (150 steps to reach 1)

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

8,561,641 25,684,924 12,842,462 6,421,231 19,263,694 9,631,847 28,895,542 14,447,771 43,343,314 21,671,657 65,014,972 32,507,486 16,253,743 48,761,230 24,380,615 73,141,846 36,570,923 109,712,770 54,856,385 164,569,156 82,284,578 41,142,289 123,426,868 61,713,434 30,856,717 92,570,152 46,285,076 23,142,538 11,571,269 34,713,808 17,356,904 8,678,452 4,339,226 2,169,613 6,508,840 3,254,420 1,627,210 813,605 2,440,816 1,220,408 610,204 305,102 152,551 457,654 228,827 686,482 343,241 1,029,724 514,862 257,431 772,294 386,147 1,158,442 579,221 1,737,664 868,832 434,416 217,208 108,604 54,302

More profiles

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