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Atlas › Integer Profiles › Node 6,921,045

6,921,045

34 × 5 × 23 × 743
Deficient Odd Composite

6,921,045 factors as 3^4 × 5 × 23 × 743. Its 40 positive divisors give a proper-divisor sum of 6,042,411, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 23 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,963,456
Proper Divisor Sum 6,042,411
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6921043 ← → #6921077

Radix Representation

Decimal 6921045
Binary 11010011001101101010101 (23 bits)
Octal 0o32315525
Hexadecimal 0x699B55

Divisor Catalog (40)

1 3 5 9 15 23 27 45 69 81 115 135 207 345 405 621 743 1,035 1,863 2,229 3,105 3,715 6,687 9,315 11,145 17,089 20,061 33,435 51,267 60,183 85,445 100,305 153,801 256,335 300,915 461,403 769,005 1,384,209 2,307,015 6,921,045

Collatz Trajectory (98 steps to reach 1)

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

6,921,045 20,763,136 10,381,568 5,190,784 2,595,392 1,297,696 648,848 324,424 162,212 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222

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