λ
Sigma Notebook

8,029,645

5 × 13 × 23 × 41 × 131
Deficient Odd Composite

8,029,645 is odd and not a perfect square. Its factorization is 5 × 13 × 23 × 41 × 131 and its 32 divisors sum to 11,176,704.

Prime Factor Structure

Factorization String 5 × 13 × 23 × 41 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,176,704
Proper Divisor Sum 3,147,059
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8029643 ← → #8029649

Radix Representation

Decimal 8029645
Binary 11110101000010111001101 (23 bits)
Octal 0o36502715
Hexadecimal 0x7A85CD

Divisor Catalog (32)

1 5 13 23 41 65 115 131 205 299 533 655 943 1,495 1,703 2,665 3,013 4,715 5,371 8,515 12,259 15,065 26,855 39,169 61,295 69,823 123,533 195,845 349,115 617,665 1,605,929 8,029,645

Collatz Trajectory (93 steps to reach 1)

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

8,029,645 24,088,936 12,044,468 6,022,234 3,011,117 9,033,352 4,516,676 2,258,338 1,129,169 3,387,508 1,693,754 846,877 2,540,632 1,270,316 635,158 317,579 952,738 476,369 1,429,108 714,554 357,277 1,071,832 535,916 267,958 133,979 401,938 200,969 602,908 301,454 150,727 452,182 226,091 678,274 339,137 1,017,412 508,706 254,353 763,060 381,530 190,765 572,296 286,148 143,074 71,537 214,612 107,306 53,653 160,960 80,480 40,240 20,120 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415

More profiles

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