6,752,005

5 × 13 × 109 × 953

6,752,005 factors as 5 × 13 × 109 × 953. Its 16 positive divisors give a proper-divisor sum of 2,062,955, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 5 × 13 × 109 × 953

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,814,960

Proper Divisor Sum 2,062,955

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6751993 ← → #6752027

Radix Representation

Decimal	6752005
Binary	11001110000011100000101 (23 bits)
Octal	0o31603405
Hexadecimal	0x670705

Divisor Catalog (16)

1 5 13 65 109 545 953 1,417 4,765 7,085 12,389 61,945 103,877 519,385 1,350,401 6,752,005

Collatz Trajectory (116 steps to reach 1)

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

6,752,005 20,256,016 10,128,008 5,064,004 2,532,002 1,266,001 3,798,004 1,899,002 949,501 2,848,504 1,424,252 712,126 356,063 1,068,190 534,095 1,602,286 801,143 2,403,430 1,201,715 3,605,146 1,802,573 5,407,720 2,703,860 1,351,930 675,965 2,027,896 1,013,948 506,974 253,487 760,462 380,231 1,140,694 570,347 1,711,042 855,521 2,566,564 1,283,282 641,641 1,924,924 962,462 481,231 1,443,694 721,847 2,165,542 1,082,771 3,248,314 1,624,157 4,872,472 2,436,236 1,218,118 609,059 1,827,178 913,589 2,740,768 1,370,384 685,192 342,596 171,298 85,649 256,948

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