1,185,065

5 × 7³ × 691

1,185,065 factors as 5 × 7^3 × 691. Its 16 positive divisors give a proper-divisor sum of 475,735, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,660,800

Proper Divisor Sum 475,735

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1185017 ← → #1185071

Radix Representation

Decimal	1185065
Binary	100100001010100101001 (21 bits)
Octal	0o4412451
Hexadecimal	0x121529

Divisor Catalog (16)

1 5 7 35 49 245 343 691 1,715 3,455 4,837 24,185 33,859 169,295 237,013 1,185,065

Collatz Trajectory (147 steps to reach 1)

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

1,185,065 3,555,196 1,777,598 888,799 2,666,398 1,333,199 3,999,598 1,999,799 5,999,398 2,999,699 8,999,098 4,499,549 13,498,648 6,749,324 3,374,662 1,687,331 5,061,994 2,530,997 7,592,992 3,796,496 1,898,248 949,124 474,562 237,281 711,844 355,922 177,961 533,884 266,942 133,471 400,414 200,207 600,622 300,311 900,934 450,467 1,351,402 675,701 2,027,104 1,013,552 506,776 253,388 126,694 63,347 190,042 95,021 285,064 142,532 71,266 35,633 106,900 53,450 26,725 80,176 40,088 20,044 10,022 5,011 15,034 7,517

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