λ
Sigma Notebook

8,199,311

37 × 221603
Deficient Odd Composite

8,199,311 is odd and not a perfect square. Its factorization is 37 × 221603 and its 4 divisors sum to 8,420,952.

Prime Factor Structure

Factorization String 37 × 221603
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,420,952
Proper Divisor Sum 221,641
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8199277 ← → #8199341

Radix Representation

Decimal 8199311
Binary 11111010001110010001111 (23 bits)
Octal 0o37216217
Hexadecimal 0x7D1C8F

Divisor Catalog (4)

1 37 221,603 8,199,311

Collatz Trajectory (186 steps to reach 1)

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

8,199,311 24,597,934 12,298,967 36,896,902 18,448,451 55,345,354 27,672,677 83,018,032 41,509,016 20,754,508 10,377,254 5,188,627 15,565,882 7,782,941 23,348,824 11,674,412 5,837,206 2,918,603 8,755,810 4,377,905 13,133,716 6,566,858 3,283,429 9,850,288 4,925,144 2,462,572 1,231,286 615,643 1,846,930 923,465 2,770,396 1,385,198 692,599 2,077,798 1,038,899 3,116,698 1,558,349 4,675,048 2,337,524 1,168,762 584,381 1,753,144 876,572 438,286 219,143 657,430 328,715 986,146 493,073 1,479,220 739,610 369,805 1,109,416 554,708 277,354 138,677 416,032 208,016 104,008 52,004

More profiles

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