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Atlas › Integer Profiles › Node 8,353,065

8,353,065

3 × 5 × 7 × 19 × 53 × 79
Deficient Odd Composite

8,353,065 factors as 3 × 5 × 7 × 19 × 53 × 79. Its 64 positive divisors give a proper-divisor sum of 8,235,735, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 19 × 53 × 79
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,588,800
Proper Divisor Sum 8,235,735
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8353063 ← → #8353067

Radix Representation

Decimal 8353065
Binary 11111110111010100101001 (23 bits)
Octal 0o37672451
Hexadecimal 0x7F7529

Divisor Catalog (60 of 64)

1 3 5 7 15 19 21 35 53 57 79 95 105 133 159 237 265 285 371 395 399 553 665 795 1,007 1,113 1,185 1,501 1,659 1,855 1,995 2,765 3,021 4,187 4,503 5,035 5,565 7,049 7,505 8,295 10,507 12,561 15,105 20,935 21,147 22,515 29,309 31,521 35,245 52,535 62,805 79,553 87,927 105,735 146,545 157,605 238,659 397,765 439,635 556,871

Collatz Trajectory (186 steps to reach 1)

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

8,353,065 25,059,196 12,529,598 6,264,799 18,794,398 9,397,199 28,191,598 14,095,799 42,287,398 21,143,699 63,431,098 31,715,549 95,146,648 47,573,324 23,786,662 11,893,331 35,679,994 17,839,997 53,519,992 26,759,996 13,379,998 6,689,999 20,069,998 10,034,999 30,104,998 15,052,499 45,157,498 22,578,749 67,736,248 33,868,124 16,934,062 8,467,031 25,401,094 12,700,547 38,101,642 19,050,821 57,152,464 28,576,232 14,288,116 7,144,058 3,572,029 10,716,088 5,358,044 2,679,022 1,339,511 4,018,534 2,009,267 6,027,802 3,013,901 9,041,704 4,520,852 2,260,426 1,130,213 3,390,640 1,695,320 847,660 423,830 211,915 635,746 317,873

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