208,365

3 × 5 × 29 × 479

208,365 has the prime decomposition 3 × 5 × 29 × 479. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 345,600

Proper Divisor Sum 137,235

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #208337 ← → #208367

Radix Representation

Decimal	208365
Binary	110010110111101101 (18 bits)
Octal	0o626755
Hexadecimal	0x32DED

Divisor Catalog (16)

1 3 5 15 29 87 145 435 479 1,437 2,395 7,185 13,891 41,673 69,455 208,365

Collatz Trajectory (111 steps to reach 1)

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

208,365 625,096 312,548 156,274 78,137 234,412 117,206 58,603 175,810 87,905 263,716 131,858 65,929 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937

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