λ
Match Zalai

6,600,723

3 × 107 × 20563
Deficient Odd Composite

6,600,723 factors as 3 × 107 × 20563. Its 8 positive divisors give a proper-divisor sum of 2,282,925, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3 × 107 × 20563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,883,648
Proper Divisor Sum 2,282,925
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6600721 ← → #6600731

Radix Representation

Decimal 6600723
Binary 11001001011100000010011 (23 bits)
Octal 0o31134023
Hexadecimal 0x64B813

Divisor Catalog (8)

1 3 107 321 20,563 61,689 2,200,241 6,600,723

Collatz Trajectory (191 steps to reach 1)

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

6,600,723 19,802,170 9,901,085 29,703,256 14,851,628 7,425,814 3,712,907 11,138,722 5,569,361 16,708,084 8,354,042 4,177,021 12,531,064 6,265,532 3,132,766 1,566,383 4,699,150 2,349,575 7,048,726 3,524,363 10,573,090 5,286,545 15,859,636 7,929,818 3,964,909 11,894,728 5,947,364 2,973,682 1,486,841 4,460,524 2,230,262 1,115,131 3,345,394 1,672,697 5,018,092 2,509,046 1,254,523 3,763,570 1,881,785 5,645,356 2,822,678 1,411,339 4,234,018 2,117,009 6,351,028 3,175,514 1,587,757 4,763,272 2,381,636 1,190,818 595,409 1,786,228 893,114 446,557 1,339,672 669,836 334,918 167,459 502,378 251,189

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