33,865

5 × 13 × 521

33,865 is odd and not a perfect square. Its factorization is 5 × 13 × 521 and its 8 divisors sum to 43,848.

Prime Factor Structure

Factorization String 5 × 13 × 521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 43,848

Proper Divisor Sum 9,983

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #33863 ← → #33871

Radix Representation

Decimal	33865
Binary	1000010001001001 (16 bits)
Octal	0o102111
Hexadecimal	0x8449

Divisor Catalog (8)

1 5 13 65 521 2,605 6,773 33,865

Collatz Trajectory (204 steps to reach 1)

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

33,865 101,596 50,798 25,399 76,198 38,099 114,298 57,149 171,448 85,724 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739

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