535,965

3 × 5 × 35731

535,965 factors as 3 × 5 × 35731. Its 8 positive divisors give a proper-divisor sum of 321,603, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3 × 5 × 35731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 857,568

Proper Divisor Sum 321,603

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #535957 ← → #535967

Radix Representation

Decimal	535965
Binary	10000010110110011101 (20 bits)
Octal	0o2026635
Hexadecimal	0x82D9D

Divisor Catalog (8)

1 3 5 15 35,731 107,193 178,655 535,965

Collatz Trajectory (102 steps to reach 1)

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

535,965 1,607,896 803,948 401,974 200,987 602,962 301,481 904,444 452,222 226,111 678,334 339,167 1,017,502 508,751 1,526,254 763,127 2,289,382 1,144,691 3,434,074 1,717,037 5,151,112 2,575,556 1,287,778 643,889 1,931,668 965,834 482,917 1,448,752 724,376 362,188 181,094 90,547 271,642 135,821 407,464 203,732 101,866 50,933 152,800 76,400 38,200 19,100 9,550 4,775 14,326 7,163 21,490 10,745 32,236 16,118 8,059 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402

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