λ
Sigma Notebook

6,761,833

13 × 157 × 3313
Deficient Odd Composite

6,761,833 is odd and not a perfect square. Its factorization is 13 × 157 × 3313 and its 8 divisors sum to 7,330,568.

Prime Factor Structure

Factorization String 13 × 157 × 3313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,330,568
Proper Divisor Sum 568,735
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6761819 ← → #6761873

Radix Representation

Decimal 6761833
Binary 11001110010110101101001 (23 bits)
Octal 0o31626551
Hexadecimal 0x672D69

Divisor Catalog (8)

1 13 157 2,041 3,313 43,069 520,141 6,761,833

Collatz Trajectory (160 steps to reach 1)

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

6,761,833 20,285,500 10,142,750 5,071,375 15,214,126 7,607,063 22,821,190 11,410,595 34,231,786 17,115,893 51,347,680 25,673,840 12,836,920 6,418,460 3,209,230 1,604,615 4,813,846 2,406,923 7,220,770 3,610,385 10,831,156 5,415,578 2,707,789 8,123,368 4,061,684 2,030,842 1,015,421 3,046,264 1,523,132 761,566 380,783 1,142,350 571,175 1,713,526 856,763 2,570,290 1,285,145 3,855,436 1,927,718 963,859 2,891,578 1,445,789 4,337,368 2,168,684 1,084,342 542,171 1,626,514 813,257 2,439,772 1,219,886 609,943 1,829,830 914,915 2,744,746 1,372,373 4,117,120 2,058,560 1,029,280 514,640 257,320

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