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Atlas › Integer Profiles › Node 6,904,065

6,904,065

3 × 5 × 7 × 47 × 1399
Deficient Odd Composite

6,904,065 factors as 3 × 5 × 7 × 47 × 1399. Its 32 positive divisors give a proper-divisor sum of 5,998,335, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 47 × 1399
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,902,400
Proper Divisor Sum 5,998,335
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6904063 ← → #6904067

Radix Representation

Decimal 6904065
Binary 11010010101100100000001 (23 bits)
Octal 0o32254401
Hexadecimal 0x695901

Divisor Catalog (32)

1 3 5 7 15 21 35 47 105 141 235 329 705 987 1,399 1,645 4,197 4,935 6,995 9,793 20,985 29,379 48,965 65,753 146,895 197,259 328,765 460,271 986,295 1,380,813 2,301,355 6,904,065

Collatz Trajectory (147 steps to reach 1)

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

6,904,065 20,712,196 10,356,098 5,178,049 15,534,148 7,767,074 3,883,537 11,650,612 5,825,306 2,912,653 8,737,960 4,368,980 2,184,490 1,092,245 3,276,736 1,638,368 819,184 409,592 204,796 102,398 51,199 153,598 76,799 230,398 115,199 345,598 172,799 518,398 259,199 777,598 388,799 1,166,398 583,199 1,749,598 874,799 2,624,398 1,312,199 3,936,598 1,968,299 5,904,898 2,952,449 8,857,348 4,428,674 2,214,337 6,643,012 3,321,506 1,660,753 4,982,260 2,491,130 1,245,565 3,736,696 1,868,348 934,174 467,087 1,401,262 700,631 2,101,894 1,050,947 3,152,842 1,576,421

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