965,547

3³ × 11 × 3251

Starting at 965,547, the Collatz iteration reaches 1 after 170 steps. The first transition is 2896642; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 3251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,560,960

Proper Divisor Sum 595,413

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #965533 ← → #965551

Radix Representation

Decimal	965547
Binary	11101011101110101011 (20 bits)
Octal	0o3535653
Hexadecimal	0xEBBAB

Divisor Catalog (16)

1 3 9 11 27 33 99 297 3,251 9,753 29,259 35,761 87,777 107,283 321,849 965,547

Collatz Trajectory (170 steps to reach 1)

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

965,547 2,896,642 1,448,321 4,344,964 2,172,482 1,086,241 3,258,724 1,629,362 814,681 2,444,044 1,222,022 611,011 1,833,034 916,517 2,749,552 1,374,776 687,388 343,694 171,847 515,542 257,771 773,314 386,657 1,159,972 579,986 289,993 869,980 434,990 217,495 652,486 326,243 978,730 489,365 1,468,096 734,048 367,024 183,512 91,756 45,878 22,939 68,818 34,409 103,228 51,614 25,807 77,422 38,711 116,134 58,067 174,202 87,101 261,304 130,652 65,326 32,663 97,990 48,995 146,986 73,493 220,480

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