1,665,833

13² × 9857

1,665,833 factors as 13^2 × 9857. Its 6 positive divisors give a proper-divisor sum of 138,181, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 13^2 × 9857

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,804,014

Proper Divisor Sum 138,181

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1665827 ← → #1665841

Radix Representation

Decimal	1665833
Binary	110010110101100101001 (21 bits)
Octal	0o6265451
Hexadecimal	0x196B29

Divisor Catalog (6)

1 13 169 9,857 128,141 1,665,833

Collatz Trajectory (114 steps to reach 1)

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

1,665,833 4,997,500 2,498,750 1,249,375 3,748,126 1,874,063 5,622,190 2,811,095 8,433,286 4,216,643 12,649,930 6,324,965 18,974,896 9,487,448 4,743,724 2,371,862 1,185,931 3,557,794 1,778,897 5,336,692 2,668,346 1,334,173 4,002,520 2,001,260 1,000,630 500,315 1,500,946 750,473 2,251,420 1,125,710 562,855 1,688,566 844,283 2,532,850 1,266,425 3,799,276 1,899,638 949,819 2,849,458 1,424,729 4,274,188 2,137,094 1,068,547 3,205,642 1,602,821 4,808,464 2,404,232 1,202,116 601,058 300,529 901,588 450,794 225,397 676,192 338,096 169,048 84,524 42,262 21,131 63,394

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