291,285

3² × 5 × 6473

291,285 factors as 3^2 × 5 × 6473. Its 12 positive divisors give a proper-divisor sum of 213,687, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 6473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 504,972

Proper Divisor Sum 213,687

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #291271 ← → #291287

Radix Representation

Decimal	291285
Binary	1000111000111010101 (19 bits)
Octal	0o1070725
Hexadecimal	0x471D5

Divisor Catalog (12)

1 3 5 9 15 45 6,473 19,419 32,365 58,257 97,095 291,285

Collatz Trajectory (189 steps to reach 1)

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

291,285 873,856 436,928 218,464 109,232 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853

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